Let f be the function defined by ƒ (x) = 3x³ 36x + 6 for -4 < x < 4. Which of the following statements is true? A f is decreasing on the interval (0, 4) because f' (x) < 0 on the interval (0, 4). (B f is increasing on the interval (0, 4) because f' (x) < 0 on the interval (0, 4). f is decreasing on the interval (-2, 0) because f" (x) < 0 on the interval (-2,0). f is decreasing on the interval (-2, 2) because f' (x) < 0 on the interval (-2, 2).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let f be the function defined by ƒ (x) = 3x³ – 36x + 6 for -4 < x < 4. Which of the following statements is true?
f is decreasing on the interval (0, 4) because f' (x) < 0 on the interval (0, 4).
B
f is increasing on the interval (0, 4) because f' (x) < 0 on the interval (0, 4).
f is decreasing on the interval (-2, 0) because f" (x) < 0 on the interval (-2,0).
f is decreasing on the interval (-2, 2) because f' (x) < 0 on the interval (-2, 2).
Transcribed Image Text:Let f be the function defined by ƒ (x) = 3x³ – 36x + 6 for -4 < x < 4. Which of the following statements is true? f is decreasing on the interval (0, 4) because f' (x) < 0 on the interval (0, 4). B f is increasing on the interval (0, 4) because f' (x) < 0 on the interval (0, 4). f is decreasing on the interval (-2, 0) because f" (x) < 0 on the interval (-2,0). f is decreasing on the interval (-2, 2) because f' (x) < 0 on the interval (-2, 2).
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