The function f(x) from the graph f '(x)

1. f(x) is increasing at the intervals (-2,0)U(2,0)


f(x) is decreasing at the intervals (-infinti, -2)U(2, infinti)

where f '(x)>0 f is increasing & f '(x)<0function is decreasing


2. at x= +/- 1.25 local max. the slope increases then decreases so they have to be max's.


3.concave up at (-infinti, 2) concave down (2, infinti)

we know where f is increasing up and then decreasing down determining the concavities.


4.quadratic maybe end behavior of x to the power of 5.