a) We have to identify the relative maximum of f.
We can identify it in the graph as:
The maximum happens at x = 0 and it corresponds to a value of f(0) = 3.
b) We can not identify in the graph if there is a relative minimum. In the domain shown in the graph we don't have minimum points.
We can identify the values for f(-2) and f(6) as:
f(-2) = 0 as it is an x-intercept of f(x).
f(6) = -3, although it can be argued that the arrow is not precisely indicating that it is the value of f(x) when x = 6.
Answer:
a) Maximum at x = 0, where f(0) = 3.
b) No relative minimum
c) f(-2) = 0 and f(6) = -3
