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

1.
The function f(x) is increasing in (-2,0)u(0,2). You could tell from the graph because the outputs of f'(x) are positive and the slope for f(x) is positive so this means that that is incrasing. The graph is decreasing in (-&,-2)u(2,&). You could tell bcuz the outputs for F'(x) are negative so the slope for f(x) is negative and that's how you tell that is decreasing.



2.
There is an extrema in -2,0, and 2. It exists an extrema there because the slope of those points are zero and every time the slope o fa certain point is zero there is an extrema.



3.
There is a concave up approxamately at (-&,-1.2) You could tell that it has a concave up here because it holds water in this certain space of the graph. There is also a concave down at (-1.2,0)u(o,&). You could tell that is a concave down because instead of holding water its like you could say is covering something or throwing all the water that was holding.

4.
I say It woul look x to the power of 4 bcuz the other graph is to the power of 5. meaning like this is the deravative you need to see how its original power was.