this question isn't not complete. I don't understand which graph matches the description given What is the graph of a function f that satisfies the followingconditions:· f (x) > 0 on (-∞, –1) U (-1, ∞)• f'(-1) = 0f" (x) > 0 on (-1, ∞)• f'" (x) < 0 on (-∞, –1)• (-1,0) is the only inflection point of f(x)

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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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this question isn't not complete. I don't understand which graph matches the description given

What is the graph of a function f that satisfies the following
conditions:
· f (x) > 0 on (-∞, –1) U (-1, ∞)
• f'(-1) = 0
f" (x) > 0 on (-1, ∞)
• f'" (x) < 0 on (-∞, –1)
• (-1,0) is the only inflection point of f(x)

Expert Solution

Step 1

$f' (x) > 0 o n (- \infty, - 1) U (- 1, \infty)$

when second derivative is positive then the function f(x) is increasing

So f(X) is increasing over the given intervals

In first and second options the graph is increasing

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Solved in 2 steps with 1 images

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What is the graph of a function f that satisfies the conditions: f' (x) > 0 on (-∞, –1) U (–1, ∞) f'(-1) = 0 f" (x) > 0 on (–1, 0) f" (x) < 0 on (–∞, –1) (-1,0) is the only inflection point of f(x)