For the following problems, choose only one answer. Please circle your answer. You may show your work on the back side of this sheet. y =f'(x) y = g'(x) y = h'(x) 1. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f, g, or h have a relative maximum on the open interval a

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 35CR
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For the following problems, choose only one answer. Please circle your answer. You may show your work
on the back side of this sheet.
y = f'(x)
-y g'(x)
y = h'(x)
1. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f g.
or h have a relative maximum on the open interval a <x < b?
(A) f only
(B) g only
(C) h only
(D) f and g only
(E) f, g and h
2. What are all values of x for which the function f is defined by f(x) = x³ + 3x2 - 9x + 7 is increasing?
(B) -1 <x< 1
(C) x< -3 or x>1
(D) x< -1 or x> 3 (E) All real numbers
(A) -3 < x< 1
13
3. What is the x-coordinate of the point of inflection on the graph of y =x³ + 5x² + 24 ?
10
(A) 5
(В) 0
(C) -
(D) -5
(E) -10
4. The function f given be f (x) = 3x5 - 4x3 – 3x has a relative maximum at x=
V5
(B) -
(C) 0
(D)
(E) 1
(A) -1
5. The graph of y = 3x* – 16x3 + 24x2 + 48 is concave down for
(B) x > 0
(C) x< -2 orx> -를 D) r<름 orx> 2 (B)를 <x<2
(A) x <0
Transcribed Image Text:For the following problems, choose only one answer. Please circle your answer. You may show your work on the back side of this sheet. y = f'(x) -y g'(x) y = h'(x) 1. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f g. or h have a relative maximum on the open interval a <x < b? (A) f only (B) g only (C) h only (D) f and g only (E) f, g and h 2. What are all values of x for which the function f is defined by f(x) = x³ + 3x2 - 9x + 7 is increasing? (B) -1 <x< 1 (C) x< -3 or x>1 (D) x< -1 or x> 3 (E) All real numbers (A) -3 < x< 1 13 3. What is the x-coordinate of the point of inflection on the graph of y =x³ + 5x² + 24 ? 10 (A) 5 (В) 0 (C) - (D) -5 (E) -10 4. The function f given be f (x) = 3x5 - 4x3 – 3x has a relative maximum at x= V5 (B) - (C) 0 (D) (E) 1 (A) -1 5. The graph of y = 3x* – 16x3 + 24x2 + 48 is concave down for (B) x > 0 (C) x< -2 orx> -를 D) r<름 orx> 2 (B)를 <x<2 (A) x <0
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