12. Consider a function g(x), whose derivative is graphed below. That is, this is the graphof g'(x).gʻ*x)g'(x)14 -13 111-10-9-7-10to11121314You may assume that the graph maintains the behavior shown outside of the region shown.Also assume that g(x) is undefined and has vertical asymptotes at z = 0 and r = -5 but isdefined and continuous everywhere else. Use this graph for all parts of this problem. (a) List all values of c for which g(x) has a critical number at r = c. Please justify youranswers.(g) List all values of c where g(x) could possibly change concavity at a = c. Explain youranswer. (Note: These should be all points you would need to include on a sccondderivative sign chart.)(h) Make a second derivative sign chart. (There should be four numbers marked on thenumber line for your chart.)

Given, The graph of g'(x) is shown as: The function g(x) is undefined at x=0 and x=-5.

12. Consider a function g(r), whose derivative is graphed below. That is, this is the graph of g'(x). g'(x) 14 13 11 10 10 11 12 13 14 You may assume that the graph maintains the behavior shown outside of the region shown. Also assume that g(r) is undefined and has vertical asymptotes at a 0 and r = -5 but is defined and continuous everywhere else. Use this graph for all parts of this problem.

12. Consider a function g(r), whose derivative is graphed below. That is, this is the graph of g'(x). g'(x) 14 13 11 10 10 11 12 13 14 You may assume that the graph maintains the behavior shown outside of the region shown. Also assume that g(r) is undefined and has vertical asymptotes at a 0 and r = -5 but is defined and continuous everywhere else. Use this graph for all parts of this problem.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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