Use complete sentences. Curve Sketching Practice With a partner or two and without the use of a graphing calculator, attempt to sketch the graphs of the following functions. Display your answers clearly and neatly. MA113 Calculus I Spring 2006 Answer the following questions. Worksheet by Kuta Software LLC Calculus Curve Sketching Name_____ ©O a2B0g1D6E TK[uOt_aG YSGoHf`tFwwanrCe\ WLBLrC_.e t QADlRll erOi^ghhittsp lrhefsyejrovSezdK.-1-For each problem, find the: x and y intercepts, x-coordinates of the critical points, open intervals But it could happen that you judiciously. What does the function look like nearby? Compute some points on the curve, especially any that are easy to calculate. Sketch the curve - sketch asymptotes as dashed lines; plot any known points on the curve (e.g. Calculus plays a much smaller part in curve sketching than is commonly believed; it is just one of the tools at our disposal. Worksheet by Kuta Software LLC Calculus Curve Sketching Name_____ ID: 1 Date_____ Period____ ©^ n2z0h1]5R TKRuLtoaM oSHo[fktJwwatrjek FLELaCn.D S vAOlDl` brQiWgDhdtYsz Urreps[evrmvfeFd`.-1-For each problem, find the: x and y intercepts, asymptotes, x-coordinates of the critical points, Math 201-103-RE - Calculus I Application of the derivative (1) Curve Sketching Page 3 of 9 Concavity: Point(s) of inflection Given f(x), the derivatives f (x)andf (x) give important information about f(x). Curve sketching. 7. Worksheet 5. Curve Sketching Example: Sketch 1 Review: nd the domain of the following function. Explain your reasoning. If x is large positive then y … Curve Sketching Whether we are interested in a function as a purely mathematical object or in connection with some application to the real world, it is often useful to know what the graph of the function looks like. 2. f (x) will help to find the possible point(s) of inflection (P.I.). Example: Sketch the graph of y = x4 −2x2 +7. 1. In this worksheet, 8. Worksheet Math 124 Week 9 Worksheet for Week 9: Sketching Curves You might have wondered, why bother learning how to sketch curves using calculus if I can just plug the equation into a computer and see the graph? 2017-02-23 11:44:11 1/4 Ws9-curve sketching (#10) Worksheet Math 124 Week 10 Worksheet for Week 10: Sketching Curves You might have wondered, why bother learning how to sketch curves using calculus if I can just plug the equation into a computer and see the graph? (Recall: a vertical asymptote occurs at x = a if the function has an in nite discontinuity Curve sketching is not my favorite subject in Calculus, since it’s so abstract, but it’s useful to be able to look at functions and their characteristics by simply taking derivatives and thinking about the functions. The Y intercept is readily found to be (0,7). Pertinent aspects of the graph to include (include as many as you can): asymptotes (vertical/horizontal) domain local extrema/regions of increase/decrease f(x) = p 3 x2 ln(x + 1) ( 1;0) [ 0; p 3 i Where might you expect f(x) to have a vertical asymptote? intercepts); finish by connecting the points of continuous functions in accord with all information. Solution: 1. But it could happen that you don’t actually have a neat formula for the function you’re trying to graph. Carry out the following steps to sketch the graph of f(x) = x p 4 x2: (a) Give the domain of f and f0.