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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Please help with B
![Free Response
The table below represents values of differentiable functions, f and g, and their first derivatives.
Use the table of values to answer the questions that follow.
f(x)
f'(x)
g(x)
g'(x)
-3
8
-4
-2
-2
2
1
-2
2
-3
2
-4
2
-4
-6
A. Is there a value of r on -3 < r < 2 such that f (r) = 0 ? Give a reason for your answer.
B. Approximate the value of g"(1.5). What does this value say about the graph of g when x = 1.5?
C. If h(x) = [f (x)]² + g(x), what is the equation of the line tangent to the graph of h at x = -2?
D. Is there guaranteed to exist a value of x = c on –2 < c < 2, such that h' (c) = 0? Give a reason for
your answer.
3.
3.
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Transcribed Image Text:Free Response
The table below represents values of differentiable functions, f and g, and their first derivatives.
Use the table of values to answer the questions that follow.
f(x)
f'(x)
g(x)
g'(x)
-3
8
-4
-2
-2
2
1
-2
2
-3
2
-4
2
-4
-6
A. Is there a value of r on -3 < r < 2 such that f (r) = 0 ? Give a reason for your answer.
B. Approximate the value of g"(1.5). What does this value say about the graph of g when x = 1.5?
C. If h(x) = [f (x)]² + g(x), what is the equation of the line tangent to the graph of h at x = -2?
D. Is there guaranteed to exist a value of x = c on –2 < c < 2, such that h' (c) = 0? Give a reason for
your answer.
3.
3.
3.
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