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: 58

Answer

$y$ is a function of $x$.

Work Step by Step

Solve for $y$ in terms of $x$ to obtain: $\begin{array}{ccc} &3x^2-y &= &5 \\&-y &= &-3x^2+5 \\&-1(-y) &= &-1(-3x^2+5) \\&y &= &3x^2-5 \end{array}$ The last equation above will give only one $y$ value for each value of $x$. Thus, the equation represents $y$ as a function of $x$.
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