Question

Consider the following graph
http://prntscr.com/90h9z4

Answer 1

hint:
we have a theorem which states:
"A function is not decreasing if \(f'\left( x \right) \geqslant 0\)"

Answer 2

so the condition is f of x will only increase when first derivative of f is positive.

Answer 3

increasing: (-1.5,0) and (0,1.5)?

Answer 4

well No, how did you get -1.5 ? I can't see it on the graph?

Answer 5

i did an estimate

Answer 6

I think, it is increasing inside this segment:
\((-\infty,-1) \cup ((0,1)\)

Answer 7

@Michele_Laino agreed

Answer 8

oops.. \((-\infty,-1) \cup (0,1)\)

Answer 9

and decreasing : (-1, 0) union (1, +infinity)

Answer 10

i dont see how u guys are getting them

Answer 11

please note that you have the graph of \(f'(x)\) @amy0799

Answer 12

make sure you can't include neither -1 , 0 or 1. On those points f of x stay constantly. meaning it doesn't change. hope this helps

Answer 13

how do i find the relative maximum or minimum?