Answer
See graph and explanation below
Work Step by Step
$P(x) = x^4 + cx$ c = -1, 0, 1, 2
The question asks to explain how the value of c affects the graph.
As c increases, the graph is non-symmetric with an increasing "crater" to the left.
As c decreases, the graph is non-symmetric with an increasing "crater" to the right.
When c is negative, the "crater" is on the right.
When c is positive, the "crater" is on the left.
