College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 204: 64


$y$ is a function of $x$.

Work Step by Step

Solve for $y$ in terms of $x$ to obtain: $\begin{array}{ccc} &\sqrt{y} - x &= &5 \\&\sqrt{y} &= &5+x \end{array}$ Square both sides of the equation to obtain: $\begin{array}{ccc} \\&(\sqrt{y})^2 &= &(5+x)^2 \\&y &= &(5+x)^2 \end{array}$ The last equation above will give one value of $y$ for each value of $x$. Thus, the equation represents $y$ as a function of $x$.
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