Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises - Page 93: 18

Answer

We can see one possible graph below.

Work Step by Step

$\lim\limits_{x \to 0^-}f(x) = 2$ The value of the function gets closer to $y = 2$ as $x$ gets closer to $x=0$ from the left side. $\lim\limits_{x \to 0^+}f(x) = 0$ The value of the function gets closer to $y = 0$ as $x$ gets closer to $x=0$ from the right side. $\lim\limits_{x \to 4^-}f(x) = 3$ The value of the function gets closer to $y = 3$ as $x$ gets closer to $x=4$ from the left side. $\lim\limits_{x \to 4^+}f(x) = 0$ The value of the function gets closer to $y = 0$ as $x$ gets closer to $x=4$ from the right side. $f(0) = 2$ $f(4) = 1$ We can see one possible graph below.
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