Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Review - Exercises - Page 232: 42

Answer

y is not a function of x for this equation.

Work Step by Step

This question asks whether the equation defines y as a function of x (one-to-one function) $2x = y^4 -16$ $y^4 = 2x + 16$ $y^2 = +/- \sqrt {2x + 16}$ $y = +/- \sqrt {+/- \sqrt {2x+16}}$ For one value of x, there is more than one value of y, so y is not a function of x for this equation.
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