Let ƒ be a function that is continuous everywhere. The graph of the derivative of f, is shown below. (0,1) (-2,0) (3,0) (0,0) TRUE OR FALSE. Write TRUE if the statement is always true and FALSE otherwise. (a) ƒ is concave down on the interval (0, +x). (b) ƒ is increasing on the interval (-x, -2). (c) ƒ is differentiable at z = -2. (d) f" is increasing on the interval (–2,0).
Let ƒ be a function that is continuous everywhere. The graph of the derivative of f, is shown below. (0,1) (-2,0) (3,0) (0,0) TRUE OR FALSE. Write TRUE if the statement is always true and FALSE otherwise. (a) ƒ is concave down on the interval (0, +x). (b) ƒ is increasing on the interval (-x, -2). (c) ƒ is differentiable at z = -2. (d) f" is increasing on the interval (–2,0).
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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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Transcribed Image Text:Let f be a function that is continuous everywhere. The graph of the derivative of f, is shown below.
|(0,1)
(-2,0)
(3,0)
|(0,0)
f'(z)
TRUE OR FALSE. Write TRUE if the statement is always true and FALSE otherwise.
(a) ƒ is concave down on the interval (0, +∞).
(b) ƒ is increasing on the interval (-x, –2).
(c) ƒ is differentiable at z = -2.
(d) f" is increasing on the interval (–2, 0).
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