I really need help with my homework. Thank you!

Question

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?

Options:

1)	f has a relative minimum at x = 1.5.
2)	f has a relative maximum at x = -1.5.
3)	f is decreasing on the interval from x = 1 to x = 2.
4)	None of these is true.

Answer 1

Answer 2

Remember this is the graph of the derivative of x. The derivative at a relative max or min is 0 so the relative max and minima are at the zeros so 1and 2 are not correct

The derivative gives us the slope so a function is increasing when the derivative is positive and decreasing when xylem derivative is negative between x=1 to 2 the derivative is at first negative and then becomes positive so the function first decreases and then increases so #3 is not correct either

So the correct answer would be 4(none are

correct)