Mathematics

Problem

The derivative of a differentiable function

f

is continuous on

(-5,5)

and takes the values shown below:

x

-5\;\; -3\;\; 0\;\; 2\;\; 5

f'(x)

4\;\; 0\;\; -2\;\; 0\;\; 3

Using only these data, indicate every open interval determined by the listed

x

–values on which

f

is decreasing.