Question

What are the key features to graphing a polynomial function? Explain how to find these key features to sketch a rough graph.

Answer 1

Graphing Polynomial Functions

Find the intercepts, if possible.

Check for symmetry. ...

Use the multiplicities of the zeros to determine the behavior of the polynomial at the x-intercepts.

Determine the end behavior by examining the leading term.

Use the end behavior and the behavior at the intercepts to sketch a graph.