Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.3 - Polynomial Functions and Their Graphs - Exercise Set - Page 351: 87

Answer

See explanations.

Work Step by Step

For any polynomial function $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$, letting $x=0$, we have $f(0)=a_0$. This means that it is not possible for a polynomial function to have no y-intercept because $y=a_0$ will always exist. Of course, the intercept may be zero, but zero is still a value.
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