Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.1 - Functions - Exercises - Page 157: 52


$D=\{x|x\in R\}=(-\infty,\infty)$ $R=\{y|y\geq4\}=[4,\infty)$

Work Step by Step

$f(x)=5x^{2}+4$ This function is not undefined for any value of $x$, so all real numbers form part of the domain of this function: $D=\{x|x\in R\}=(-\infty,\infty)$ We see that if $f(0)=4$ and for every other value of $x$, $f(x)\gt4$, so we can express the range as follows: $R=\{y|y\geq4\}=[4,\infty)$
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