Graphical Analysis of f'(x)

Given the graph of f'(x) above, state the closest x-value of a local maximum for f(x).

• x = 0

• x = -3.2

• x = -1.5

• x = -6

Given the table of values describing the behavior of f'(x), select ALL intervals for which f(x) is positive.

•  $\left(-\infty,1\right)$  

• (1, 3)

• Not enough information

Given the graph of f'(x), state the critical point of f(x) that is neither a min nor a max.

• x = -2

• x = 0

• x = 1

• x = 2

Given the graph of f'(x), state where f(x) is increasing.

• $\left(0,\ \pi\right)$

• $\left(0,\ 2\pi\right)$

• $\left(\pi,\ 2\pi\right)$

• $\left(0,\ \frac{\pi}{2}\right)\cup\left(\frac{3\pi}{2},\ 2\pi\right)$

Given the graph of f'(x), state the intervals where f(x) is concave up.

• (-1.5, 0) U (0, 1.5)

• (-1, 0) U (1, 2)

• (-0.5, 0.5)

• (-2, -0.5) U (0.5, 2)