Question

Use the graph of f to estimate the local maximum and local minimum. A cubic graph is shown increasing, then decreasing, then increasing again. The graph intercepts the x axis at approximately -1.8, 0, and 3.2.

Local maximum: approx. (-1,1.17); local minimum: approx. (2,-3.33)
Local maximum: (0,0); local minimum: (3.2,0)
Local maximum: ∞ local minimum: -∞
No local maximum; no local minimum

Answer 1

Graph is missing but we can still solve this problem using given information.

Given that graph is cubic which increases first then decreases then increases again. The graph intercepts the x axis at approximately -1.8, 0, and 3.2.

That means graph will look similar to attached graph.

We can see that maximum lies at point A Which is clearly between x=-1.8 and x=0

That best matches with x=-1 from given choices.

We can see that minimum lies at point B Which is clearly between x=0 and x=3.2

That best matches with x=2 from given choices.

Hence final answer is "Local maximum: approx. (-1,1.17); local minimum: approx. (2,-3.33)"