 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q. 114

Expert-verified Found in: Page 197 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # Can the graph of a polynomial function have no y-intercept? Can it have no x-intercepts? Explain.

When a polynomial does not have the constant term then the graph of the polynomial does not contain $y-$ intercept.

The graph of polynomial does not have $x-$ intercept if the roots of the polynomial function are imaginary.

See the step by step solution

## Step 1. Condition for having no y- intercept

When a polynomial does not have the constant term then the graph of the polynomial does not contain $y-$ intercept.

The graph of polynomial does not have $x-$ intercept if the roots of the polynomial function are imaginary.

## Step 2. Condition for having no x- intercept

The graph of polynomial does not have $x-$ intercept if the roots of the polynomial function are imaginary.

For example The graph of $1+x+{x}^{2}$ does not have $x-$ intercept. ### Want to see more solutions like these? 