Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.3 - Functions and Their Graphs - Exercises: 14

Answer

Domain: $(-\infty,\infty)$ Range: $(-\infty,4]$

Work Step by Step

$h(x)=4-x^{2}$ This function is defined for all real numbers, so its domain is $(-\infty,\infty)$ This function represents a parabola of vertex $(0,4)$ and it opens downwards, so its range is formed by all the numbers smaller than $4$, including it, or $(-\infty,4]$
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