Answer
Local Maximum: 0
Local Minimum: 0
See graph below
Work Step by Step
Given: $y = (x-2)^5 + 32$
Maximum of four 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.
In the graph, however, there is no presence of local maximums and local minimums as the function is always increasing from (-∞, ∞) of the x-axis.
Local Maximum: 0
Local Minimum: 0