Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.3 - Functions and Their Graphs - Exercises - Page 28: 48

Answer

y is a function of x; it passes the vertical line test.

Work Step by Step

First rearrange the function to solve for y: y = $16-x^{2}$ In this case we have only one equation for y which means a single value of y will have one solution for each x. This agrees with the definition of the function, therefore y is a function of x. You should also recognize that this is a quadratic equation and know that all such equations are functions.
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