Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 54: 31


$\text{not a function}$

Work Step by Step

For an equation to be a function: any input $x$ will yield only one output $y$ We start by solving the equation for $y$ Taking the square root of both sides: $$y = \pm \sqrt{4-x^2}$$ If $x=1$ $$y = \pm \sqrt{4-(1)^2} = \pm \sqrt{3}$$ As there are two different outputs resulting from the same input, the equation isn't a function
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