Question

I need help on this one please?

Answer 1

Part (a)

• The local maximum is where the graph changes from increasing to decreasing.
• The local minimum is where the graph changes from increasing to decreasing.

The local minimum you are missing is
`\boxed{(-3, -2)}`.

Part (b)

• The function is increasing when the graph is going "up".
• The function is decreasing when the graph is going "down".
• Note that stationary points (such as local maxima and minima) are not included, since the graph is neither increasing nor decreasing at these points.
• Also, remember that when doing interval notation, the smaller endpoint goes on the right.

Increasing:
`(-3, 0) \cup (2, \infty)`

Decreasing:
`(-\infty, -3) \cup (0, 2)`