Question

OPEN ENDED Sketch the graph of an odd-degree polynomial function with a negative leading coefficient and three real roots.

Short answer

The graph is:

Step-by-step solution

Step 1. Given

An odd-degree polynomial function with a negative leading coefficient and three real roots.

Step 2. To determine

We have to sketch the graph.

Step 3. Calculation

An odd-degree polynomial functions whose leading coefficient is negative goes down on the right side and up on the left side.

Let the three real roots are $x=-1,0,1$

So, the graph is: