identify all of the global and local extrema of the graph.
identify all of the global and local extrema of the graph.
Answer
Answer:
Local maximums: $(-2, 2)$ and $(4, 2)$; Global minimum: $(1, - 7)$
Explanation:
Step1: Define local extrema
Local extrema are points where the function changes from increasing to decreasing (local maximum) or vice - versa (local minimum). At $x=-2$ and $x = 4$, the function changes from increasing to decreasing, so $(-2,2)$ and $(4,2)$ are local maximums.
Step2: Define global extrema
The global minimum is the lowest point on the entire graph. By observing the graph, the lowest point is at $(1,-7)$.