Answer
See graph and explanation below
Work Step by Step
$P(x) = x^3 + cx$ c = -1, 0, 1, 2
The question asks to explain how the value of c affects the graph.
As c increases, the graph is curved less.
As c decreases, the graph is curved more.
When c is negative, there are two extrema.
When c is positive, there are 0 extrema.