Answer
Local Maximum: 0
Local Minimum: 1
See graph below.
Work Step by Step
Given: $y = (x^2 - 2)^3$
Maximum of five local extrema (degree - 1)
The gray dots in the graph represent the intercepts of the function and the local minimum and maximum points.
This question asks for the number of local maximums and local minimums present within the graph
There is only ONE extrema present in the graph
Local Maximum: 0
Local Minimum: 1