Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 3 - Graphing Linear Functions - 3.7 - Graphing Absolute Value Functions - Monitoring Progress - Page 156: 1

Answer

The graph of $h$ is a vertical translation $1$ units down of the graph of $f$. The domain is all real numbers. The range is $y\geq -1$. The graph is shown below.

Work Step by Step

The given function is $f(x)=|x|$ and $h(x)=|x|-1$ By using input-output values prepare a table of values. Plot the ordered pairs. The function $h$ is of the form $y=f(x)-k$, where $k=1$. Hence, the graph of $h$ is a vertical translation $1$ units down of the graph of $f$. The domain is all real numbers. The range is $y\geq -1$.
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