Question

Identify the local maximum and local minimum of the function shown in the graph below

Answer 1

The local minimum is the lowest point on the graph while the local maximum is the highest point on the graph.

Looking at the graph,

Local maximum is y = 4. It occurs at x = - 1

Local mimimum is y = - 1. It occurs at x = 1

Thus,

Local maximum = (- 1, 4)

Local minimum = (1, - 1)