Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 66: 10


All polynomials are continuous on the real line.

Work Step by Step

We are given the function $ f(x)=3x^3+8x^2-20x $. The function $ f(x)$ is a polynomial of degree 3. Theorem 2 states that all polynomials are continuous on the real line. Thus $$ f(x)=3x^3+8x^2-20x $$ is continuous.
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