3) Curve Sketching: The function y = f(x) and its derivatives are given below. Use the information to complete thetables and to determine a) any asymptotes b) intervals where f(x) is increasing or decreasing c) coordinates ofany local minimums or maximums d) intervals where the graph is concave up or down d) coordinates of anyinflection points and e) to use the information to sketch the graph of the function. Indicate all features on yourgraph. (A plot given by graphing software with no other information will receive no credit.)First DerivativeIntervalSecond DerivativeIntervalf(x)==1+xV√√x-; f'(x) ==-1 + 2x=-; f"(x) =3x√xSign of f'(x)Sign of f'(x)sketch the graph according to the information above:Determine the following (if any): Local maximums/minimumsasymptotes (Show any limits involved)4 - 2x9x²√xf(x) Increasing/Decreasingf(x) Concavity; inflection points

We have to plot function using given information

Answered: 3) Curve Sketching: The function y =…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter4: Graphing And Inverse Functions

Section4.1: Basic Graphs

Problem 49PS

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Use a graphing utility to graph the function f(x) = arccos x + arcsin x on the interval [−1, 1]. (a) Describe the graph of f. (b) Verify the result of part (a) analytically.
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