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.

Thank you in advance!

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.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

you can not drow on this

step-by-step explanation: