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Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x = 2. There are horizontal tangents at x = -1.5 and x = 1.5. Which of the following statements is true?
f has a relative minimum at x = 1.5.
f has a relative maximum at x = -1.5.
f is decreasing on the interval from x = 1 to x = 2.
None of these is true.

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Below is the graph of f x the derivative of fx and has xintercepts at x 3 x 1 and x 2 There are horizontal tangents at x 15 and x 15 Which of the following stat class=

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Answer:

f is decreasing on the interval from x = 1 to x = 2.

Step-by-step explanation:

f has a relative minimum when f' changes signs from - to +.

f has a relative maximum when f' changes signs from + to -.

f is decreasing when f' is negative.

f' is not changing signs at x=-1.5 or x=1.5, so neither of these are minimums or maximums of f.  However, f does have relative minimums at x=-3 and x=2, and a relative maximum at x=1

f' is negative between x=1 and x=2.  So f is decreasing in this interval.

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