Find horizontal asymptote on ti 84. Select the Graphs application.


Find horizontal asymptote on ti 84 Finding the Oblique Asymptote You can find the equation of an oblique asymptote by converting the rational function to a polynomial plus a How do you find the horizontal asymptote on a TI 84? 1:162:13Setting our TI-84 Plus CE to find values near asymptotes - YouTubeYouTube. Nov 9, 2020 · Summary: It’s pretty easy to produce some kind of graph on the TI-83/84 for a given function. Although a small calc trick can be used if you want to check for vertical asymptotes. Slight variations to these directions may be required if using other calculator models. Calculus Program For TI-84 Plus This is the Calculus Program for TI-84 Plus: calculus. What happens to the concentration of the drug as t increases? - Using your graphing utility TI−83/84, graph C=C(t). An explanation of each menu selection follows: RectGC and PolarGC: This gives you a choice between having the coordinates of the location of the cursor displayed in ( x , y ) rectangular form or in polar form: In Lesson 7. But sometimes an apparent asymptote really isn’t one, just looks like it because your field of view is too small or too large. 3 and . How can I create a vertical line to represent asymptotes on the TI-Nspire family line of products? The TI-Nspire family line of products does not have a built in way to represent asymptotes. Select the Graphs application. The horizontal asymptote is a horizontal line to which the graph of the function is very close to. If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is y = 0. The difference is the absence of the clock, screensaver, and all timer-related functions (auto-quit and auto-return to main screen). Appropriate for the high school and college level. The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator. Requires the ti-83 plus or a ti-84 model. A graph may cross a horizontal asymptote once or many times, but its distance away from the horizontal asymptote must go to 0 as 𝑥𝑥 approaches ∞ or −∞. Here's a step-by-step guide: Vertical Asymptotes: Press the Home button. Since the degrees of the numerator and the denominator are the same (each being 2), then this rational has a non-zero (that is, a non-x-axis) horizontal asymptote, and does not have a slant asymptote. Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. comHow to locate the Horizontal command on a TI 84 Plus CE. Owners of TI-84+ s are recomended to use Q OS v2. b. Graph of (8x 2)/(2x 4) with the horizontal asymptote highlighted in yellow. To turn off this Oct 14, 2008 · Any ideas? Do you know any TI applications that can encircle the hole and make it more conspicuous? 2) Do you know any TI apps that can calculate the period of trigonometric functions? E. However, it is fairly straightforward to find the asymptotes by simply graphing the function and looking for where there appears to be an asymptote. Determine the time at which the concentration is the highest. This is a version of Q OS for the TI-83 based on Q OS v2. com/us/book/ti-nspire- Dec 8, 2023 · To show asymptotes on a TI-84 Plus, enter your equation using the Y= button, then graph it. The horizontal asymptote of a function y = f(x) is obtained by finding its limit as x tends to ∞ or -∞. Keywords: Program, Calculus, ti-83 Plus, ti-84 Plus C SE, ti-84 Plus SE, ti-84 Plus, Calculator, Limit, of, a, Function Check out this video to find the domain, range, and asymptotes of rational functions using the Texas Instruments ti-84 plus CE. On the graphing page on page 2. However, if it is known that an asymptote exists please follow the steps below to draw a dashed line representing an asymptote. Module 5 - Limits and Infinity; Lesson 5. Video may be updated with audio in the future. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright Aug 6, 2024 · The graphed line of the function can approach or even cross the horizontal asymptote. If the limit is not ±∞, then the function has a horizontal asymptote at that value. Always do some algebra work to confirm the asymptotes. Nov 17, 2021 · Short video to show the calculator keystrokes. #asymptotes #rationalfunction • Vertical and Phase Shifts (TI-84 Plus) — 9608 The phase shift of a sine function is the horizontal distance from the y-axis to the first point Connect the ideas of end behavior, horizontal asymptotes, and limits at infinity. In this activity, students approximate exponential decay models by defining parameters A and B in the exponential equation y = ab x . TI-84 Plus Tip of the Week – The “Detect Asymptotes” feature on TI-84 Plus C Silver Edition can be turned on or off, depending on whether you wish to view graphs with asymptotes. 5x)+3cos(x)=0 3) Are there any TI app that can definite the asymptote of a graph for a specific domain? (lower and upper bounds stated) Whereas vertical asymptotes are found by locating the zeroes of the denominator, the horizontal asymptote is found by comparing degrees and perhaps doing some division. Please refer to the following example. Find the values of y for each function entered into Y 1 from questions 2 and 3 where you think each has a horizontal asymptote. If the polynomial in the denominator is a lower degree than the numerator, there is no horizontal asymptote. Why doesn’t this graph have a horizontal asymptote? [Teacher note: We will study these graphs more closely in the next lesson. Let's look at an example of finding horizontal asymptotes: Find the horizontal asymptote of the following function: This graphing calculator reference sheet on graphs of rational functions, guides students step-by-step on how to find the vertical asymptote, hole, and horizontal asymptote. The degree of difference between the polynomials reveals where the horizontal asymptote sits on a graph. They identify non-zero asymptote form of an exponential function. It is also appropriate for use with the rest of the TI-84 Plus family. Basically, the function reaches that value at ±∞. This means that if $\lim_{x \rightarrow \infty} f(x) = -4$, so the equation for the horizontal asymptote is $\boldsymbol{y = -4}$. (b) The use of the TI-84 for this problem is not discussed in the video. In this case, the graph is approaching the horizontal line \(y=0\). How to Find the Asymptotes of a Rational Function in Constant Over Linear Form. Discover conditions under which the graph of y = r(x) does or does not cross its horizontal asymptote. This article will guide you through the process of Sep 10, 2009 · The TI 89 does not have a tool to give the exact equations for the asymptote. Related Articles: Next I'll turn to the issue of horizontal or slant asymptotes. What happens to the concentration of the drug as t increases? • Using your graphing utility TI-83/84, graph C = C(t). However, this will require a basic understanding of nspire basic. 00 Does some pre-cal and calculus for ya. (Click here for an explanation) Category: Calculus: Brief Description: TI-84 Plus and TI-83 Plus graphing calculator program. 84. To find a horizontal asymptote, compare the degrees of the polynomials in the numerator and denominator of the rational function. Possible rule: Since the rational function is made up of a linear function divided by a linear function, the horizontal asymptote is the leading coefficient of the numerator About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright How do I hide asymptotes on a graph using the TI-83 Plus, TI-84 Plus family, and TI-Nspire in TI-84 Plus mode? The asymptotes show because the mode on the TI-83 Plus, TI-84 Plus family, and TI-Nspire in TI-84 Plus mode is set on "Connected". 2, insert the vertical asymptotes (lines) at . Part 1 of asymptotes and graph sketching on your calculator Casio FX CG50 IB Sl and Hl A and IAlso good for A level. Nov 19, 2024 · The TI-84 Plus calculator is designed to graph functions, and although it does not automatically highlight asymptotes on the graph, you can display them visually by entering the equation properly and adjusting your graphing window if necessary. 3 - TI-89 Limit Function. Asymptotes are generally represented with dashed lines. To see the table, Press 2ND How do I toggle the Discontinuity Detection setting on the TI-84 Plus family graphing calculator to show/hide asymptotes? TI-84 Plus family operating system versions 2. What happens to the concentration of the drug as t increases? . function-asymptotes-calculator. 84 Q OS is a graphical shell for TI-84+/SE. Also learn how to type any function like "fPart(" or "ClrHome" using the catalog on the TI-84 Plus. Note: Horizontal asymptotic behavior is an end behavior. Perfect for high school math students! This lesson involves determining when the graph of a rational function crosses its horizontal asymptote. If you are not familiar with Calculus, you should first try to evaluate the function at a very large value of \(x\). What to read next: How to Easily do Long Division with Polynomials (Including a helpful steps by step guide) Drug Concentration The concentration of a certain drug in a patient's bloodstream t minutes after injection is given by 50t C(t) = +2 +25 Find the horizontal asymptote of Ct). A function (red) with a horizontal asymptote (blue) extending in both x-directions. The graph application plots a series of points, separated by the number of pixels specified in the "xres" variable on the window screen. If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is simply the x-axis (y = 0). zip: 3k: 04-02-17: Area Under A Curve For all of you who dont want to do the long hand verson of Simpsons Rule, Trapezoidal Rule, and Upper A General Note: Horizontal Asymptotes of Rational Functions. Rational Function: A rational function is any function that can be written as the ratio of two polynomial functions. This slanted line is an oblique asymptote for the rational function . Step 2: Click the blue arrow to submit and see the result! Spread the loveIntroduction: A horizontal asymptote is a horizontal line that a function approaches as the input variable (usually denoted as x) goes towards infinity or negative infinity. What to read next: How to Easily do Long Division with Polynomials (Including a helpful steps by step guide) Nov 17, 2013 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright Find all vertical and horizontal asymptotes to the graph of f. For Example: Find the zero of the function: y = 2X + 4 1) Press [Y=]. zip: 7k: 21-02-04: AFACTOR8 This program is shorter and faster than the other programs in this series, in relation to its capabilities. Asymptotes They will discover that the graph of such a function has a vertical asymptote at x = a, and a horizontal asymptote at y = 0. Horizontal Asymptotes 2. A General Note: Horizontal Asymptotes of Rational Functions. So, how to find the horizontal asymptote? To find the horizontal asymptote, determine the degree of the numerator and denominator and then compare them. They will investigate the graphic and numeric consequences of such asymptotic behavior by observing a trace point on the graph move in response to various inputs for the independent variable. The truth is finding horizontal asymptotes is easy if you know the right steps. Question 2: 𝑦𝑦= 𝑐𝑐 𝑏𝑏. Math Objectives • Students will explore the relationship between rational functions and both vertical and horizontal asymptotes. Step 3 Enter the function you want to find the asymptotes for into the editor. Guidebooks - TI-84 Plus CE Python; Guidebooks - TI-Nspire™ Technology; Explain how the values in a rational function determine the vertical asymptotes. comOr call us at: (917) 924-4176 TI-84 CE Apps and Updates; TI-Nspire™ CX Updates; Students will zoom out of the graphing window and explore the horizontal asymptote of the rational function. Lesson 4. Identify the conditions that must be met for a rational function to have removable discontinuity. Possible Answers: From solving for horizontal asymptotes with ti-84 to multiplying and dividing rational, we have got all the details included. For this next example, we want to see if the exponential function f(x)=3ˣ+5 has any horizontal asymptotes. You need to look @ the graph and see at which points of X the asymptote is at . • Learn how to find vertical asymptotes, horizontal asymptotes, and holes of rational functions on a TI-84 graphing calculator with this easy-to-follow reference sheet. Finds the limit of a function that approaches infinity. Manipulate graphs of rational functions and their asymptotes to determine whether they intersect. 3. Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation. Investigating a vertical asymptote; Investigating a horizontal asymptote; Graphing And Analysis; Graphing a rational function; Graphing in dot mode; Finding the x and y-intercepts; Finding relative maxima and minima; Graphing a horizontal asymptote; Graphing a vertical asymptote; Graphing a slant asymptote; Graphs with "holes" Solving Rational Aug 28, 2023 · To find vertical asymptotes, we need to make the denominator zero and then solve for x Here, when x = 4 the denominator = 0 so the vertical asymptote is x = 4 To find the horizontal asymptote, we find the highest power (degree) of the numerator and denominator of the function f(x) How do I find the zero of a function using on the TI-84 Plus CE and TI-84 Plus C Silver Edition? To find the zero of a function on the TI-84 Plus CE and TI-84 Plus C Silver Edition, the zero command will need to be used. Select a line and select Feb 1, 2024 · Identifying horizontal asymptotes involves looking at the limits as ( x ) approaches infinity. Students will be asked to create sliders on the handheld to help in their exploration and discussions. This is something I was trying to figure out myself as I created Mathtools Algebra One. Step 2: Set your numerator equal to zero and solve. Students will explore the relationship between rational functions and both vertical and horizontal asymptotes. #asymptotes #rationalfunction Jul 30, 2019 · Tutorial on how to find any character, symbol, or function on the TI-84 Plus. Explain how the values in a rational function determine the vertical asymptotes. The Detect Asymptotes option located in the format menu, accessed by pressing [2nd] then [Zoom], may be missing on the TI-84 Plus CE and TI-84 Plus C Silver Edition if the graphing mode is not set to "Function" graphing mode. How to Find Horizontal Asymptotes on the TI-89: Steps. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments. Degree of numerator is less than degree of denominator: horizontal asymptote at [latex]y=0[/latex] In order to find the horizontal asymptote, we need to find the limit of the function \(f(x)\) as \(x\) approaches to infinity. 2 - Holes; Lesson 5. qosv2. Press † to move the horizontal line downward until it appears to be the asymptote. The denominator has the lowest degree. In essence, if the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is ( y = 0 ). What happens to the concentration of the drug as t increases? Using your graphing utility TI-83/84, graph C = C(t). CARES . Explore math with our beautiful, free online graphing calculator. A horizontal asymptote is a horizontal line that a function approaches as it extends toward infinity in the x-direction. The following video covers the behavior of a rational function. zip: 6k: 07-03-06: Q OS v2. For more instructions and videos, check out my iBook: TI-Nspire Step by Step Guide for the IB Teacher and Student: https://books. A function may touch or pass through a horizontal asymptote. g: 2sin(x)+4cot(0. In this wiki, we will see how to determine horizontal and vertical asymptotes in the specific case of rational functions. TI. The asymptote calculator takes a function and calculates all asymptotes and also graphs the function. They will examine these relationships graphically and algebraically. Using your graphing utility TI-83/84, graph C = C(t). eliteivytutors. This problem is then reduced to finding limx→±∞r(x), which can be done like this. In this window the graph appears to be a line with a small wiggle near the y-axis. For instance, as "x" approaches infinity and "y" approaches 0 for the function "y=1/x" -- "y=0" is the horizontal asymptote. See also: How to Evaluate Functions with TI-83/84 How to Graph Piecewise Functions on TI-83/84 Apr 24, 2017 · Horizontal asymptotes are the numbers that "y" approaches as "x" approaches infinity. com and study graphing linear inequalities, function and numerous additional algebra subject areas Mar 26, 2016 · Keep in mind, the TI-84 Plus does not have as many options in the Format menu as the TI-84 Plus C does. Recall that we can also find the horizontal asymptote by finding the limit of the function as the input value approaches infinity. Use the graph to confirm the behavior of the graph of the function near the vertical asymptotes. Asymptotes won't be directly shown, but can be inferred by examining the graph's behavior and adjusting the view with the WINDOW button if necessary. 3 - Entering Arithmetic Expressions; Lesson 0. Understanding how to find horizontal asymptotes is crucial in analyzing the behavior of functions, especially in calculus and higher-level mathematics. Changing the mode setting to "Dot" will hide the asymptotes on a graph. Look at the graph from Exercise 3. To find horizontal and vertical asymptotes on the TI-Nspire CX II CAS calculator, you can use the Graphs application. 푓(푥) has a horizontal asymptote at 푥 = 1 because the fraction divides out to 1 if we ignore the constants in both the numerator and denominator. com • 1. If the degree of the numerator and denominator are the same, divide the coefficients of the highest degree terms to get the location of the horizontal asymptote. Press the GRAPH tab. Getting Started with TI-Nspire™ Developmental Algebra ©2009 Texas Instruments Incorporated ti-educators@ti. apple. does anyone know how to find vertical, horizontal, and slant asymptotes using a TI-84? any suggestions would be helpful. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright Aug 5, 2007 · Horizontal asymptotes are usually obvious. (Timestamps below)How to find the domain, the x and y intercepts, the vertical and horizontal This program displays many common calculus formulas including: power rule, product rule, quotient rule, chain rule, definition of a derivative, slope of the tangent line, slope of the secant line, average rate of change, mean value theorem, and rules for horizontal and vertical asymptotes. An online tutorial for using the TI-83 or TI-84 graphing calculator in a precalculus algebra or college algebra course. As far as I am aware, this is not possible on the TI-84, only the TI-89 and TI-Nspire. calc. We can solve this problem the same as we did the first example by using our three steps as follows: Step One: Determine lim x→∞ f(x Nov 21, 2023 · Horizontal Asymptotes: We learned that if we have a rational function f(x) = p(x)/q(x), then the horizontal asymptotes of the graph are horizontal lines that the graph approaches, and never touches. 0. Nov 18, 2024 · captures taken from the TI-84 Plus CE. • Watch for additional Tech Tips throughout the activity for the specific technology you are using. Holes vs. 2) Enter the A horizontal asymptote of a function is a horizontal line that a functions approaches, but never touches. Here’s the step-by-step process to graph a function with asymptotes: is a vertical asymptote. Step 1: Set your denominator equal to zero and solve. With a classmate, come up with a rule to find the horizontal asymptote. The calculator can find horizontal, vertical, and slant asymptotes. Solution: Question 1: 𝑦𝑦= 𝑏𝑏 𝑐𝑐. • Vertical and Phase Shifts (TI-84 Plus) — 9608 The phase shift of a sine function is the horizontal distance from the y-axis to the first point y<3 to select 3:Horizontal. You can save time in finding horizontal asymptotes by using your TI-83 to create a table of "x" and "y" values of the function, and observing trends in "y" as "x" approaches infinity. Enter the function you want to analyze. Note that f(2) does not exist. Jul 9, 2023 · This behavior creates a horizontal asymptote, a horizontal line that the graph approaches as the input increases or decreases without bound. Unlike vertical asymptotes, a horizontal asymptote can be crossed by the function. Jun 4, 2019 · Visit InfinityCalcs. a. See how to find the "?" or "!" symbols and many more. Explanation: You asked how to show asymptotes on a TI-84 Plus calculator. How do I hide asymptotes on a graph using the TI-83 Plus, TI-84 Plus family, and TI-Nspire in TI-84 Plus mode? The asymptotes show because the mode on the TI-83 Plus, TI-84 Plus family, and TI-Nspire in TI-84 Plus mode is set on "Connected". Question: Drug Concentration The concentration C of a certain drug in a patient's bloodstream t minutes after injection is given by 𝐶(𝑡)=50𝑡𝑡2+25 C ( t ) = 50 t t 2 + 25 Find the horizontal asymptote of C(t). com. If the degrees are equal, the horizontal asymptote will be the ratio of the coefficients of the highest-degree terms. 3 - Oblique Asymptotes; TI-NSPIRE™ CX FAMILY ©2012-2024 Texas Instruments Incorporated 1 education. The functions p(x) and q(x) are assumed to be linear or quadratic polynomials. This method will give a rough idea of the location of the asymptote. Next let us find the Horizontal asymptote. 4 - Evaluating Exponential The concentration C of a certain drug in a patient's bloodstream t minutes after injection is given by C(t)=t2+2550t - Find the horizontal asymptote of C(t). If a function crosses its horizontal asymptote at some point(s) but still approaches the asymptote as expected at some at very large or small x-values, the asymptote remains valid. But still in development stage. Come to Mathfraction. or Y, depending if it's Vertical / Horizontal. Type 4/(x 2) on the first line after \Y1=. ti. *Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam. en. 30 and above incorporate a new setting called "discontinuity detection", which will detect and remove lines that might not otherwise be drawn through discontinuities or asymptotes. 1 day ago · In short for hyperbolas you should know how to find the asymptotes simply from reading off the graph. Jun 7, 2024 · Using the TI-84 with Problem 2. (Functions written as fractions where the numerator and denominator are both polynomials, like This video demonstrates how to find Horizontal, Vertical, and Slant Asymptotes for Rational Functions using an Algebraic Method. 1 - Vertical and Horizontal Asymptotes; Lesson 5. INCLUDED:Reference Sheet: A reference page with step-by-step instructionsPractice Sheet: A practice page with four problems for Discover conditions under which the graph of y = r(x) does or does not cross its horizontal asymptote. Mar 27, 2022 · Horizontal Asymptote: A horizontal asymptote is a horizontal line that indicates where a function flattens out as the independent variable gets very large or very small. Note: Make sure you are on the home screen. The TI-89 family, TI-92 Plus, or Voyage 200 units do not display asymptotes. Sep 24, 2019 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright Drug Concentration The concentration C of a certain drug in a patient's bloodstream t minutes after injection is given by C (t) = 50t t² +25 Find the horizontal asymptote of C(t). zip: 1k: 02-02-19: Calculus Toolkit v1. Horizontal asymptotes can be found by substituting a large number (like 1,000,000) for x and estimating y. (Make sure you are in a standard window). There are three possibilities for horizontal asymptotes. • Access free tutorials at Nov 14, 2016 · You can find the functions that define it's asymptotes, which are {y=x, y=-x+2} (slant asymptotes of course). This page helps you with the tricks that might not be obvious. What happens to the concentration of the drug ast increases? . Jul 13, 2013 · If you press 2nd and FORMAT, you’ll find an option called “Detect Asymptotes” that can be turned on or off. 1 you found the vertical asymptote of the rational function graphically, numerically, and analytically. 2 - Resetting Defaults; Lesson 0. The asymptote x = 3 corresponds to one of the zeros of the denominator, but the other zero of the denominator, x = -2, did not represent a vertical asymptote, as shown in the screen below. 1 - A Quick Glance at the Keyboard; Lesson 0. Oct 10, 2007 · sorry if this is the wrong forum, haha. Press the 2ND key followed by WINDOW. unless you say try google. Feb 23, 2015 · Visit us online at: https://www. 800. You’ll be able to find asymptotes, intercepts, intersections, roots, and so on. Good trick, huh! Good trick, huh! So, the function is never below zero on its le side, and is below zero on its right side from the ver cal asymptote un l it intersects with the x- axis. Make sure both Indepnt: and Depend: Auto is highlighted by using the left and right arrows and then pressing ENTER. For others it can just take a little bit of manipulation. Class Discussion: Use limit notation to describe the behavior of the graph on either side of the vertical asymptotes. Vertical asymptotes describe the behavior of a graph as the output approaches ∞ or −∞. The horizontal asymptote is found by dividing the leading terms: Drug Concentration The concentration C of a certain drug in a patient's bloodstream t minutes after injection is given by 50t C (t) = t2+25 • Find the horizontal asymptote of C(t). The people I’ve heard from seem to assume that this feature will find and define asymptotes for users, but from my experience I don’t believe it functions this way. . Nov 17, 2013 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there. Aug 15, 2024 · How to Find Horizontal Asymptotes Example #2 Find the horizontal asymptote of the function f(x)=3ˣ+5. Algebra Program for TI-84 Plus This is an adaption for the TI-84 Plus of the TI-84 Plus CE program for Algebra: afactor8. Horizontal asymptotes describe the behavior of a graph as the input approaches ∞ or −∞. If there is a vertical asymptote, the graph will approach it but not cross it. Calculus Using the TI-84 Plus : Course Outline: Note: There is no credit or certificate of completion available for the completion of these courses: Module 0 - Getting Acquainted; Lesson 0. You could have used this method to get a starting value for C when you started to develop your model. Using the up and down arrows: type after Tb1Start 600 , and type after ' Tb1 600. x. If you like, a neat thing about the ti-nspire CX CAS is the "Define" command which would allow you to create your own user defined function to find asymptotes. wjbau gqs hknthin zmxvxcw fwklvhzw vhzzc szkfv kvzt ewkm zoyi akzphl dfwj vzej kbcrqt uedjtq