Answer
Local Maximum: 1
Local Minimum: 1
See graph below.
Work Step by Step
Given: $y = \frac{1}{3} x^7 - 17x^2 + 7$
Maximum of six 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 TWO extrema present in this graph
Local Maximum: 1
Local Minimum: 1
