Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 168: 58

Answer

The equation defines $y$ as a function of $x$. The function can be written as $f(x)=3x^2-5$.

Work Step by Step

Solve for $y$ in terms of $x$ to have: $3x^2=5+y \\3x^2-5=y \\y=3x^2-5$ The last equation is a rule that gives one value of $y$ for each value of $x$. Thus, it defines $y$ as a function of $x$ Therefore, the function can be written as: $f(x)=3x^2-5$
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