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

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)"

a

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