Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.6 Variation - 3.6 Exercises - Page 388: 20

Answer

D.

Work Step by Step

$x=ky^2$ can be further executed to bring it back to proper form with an isolated $y$. $x=ky^2$ $y^2=x/k$ $y=\sqrt {\frac{x}{k}}$ (note that because the graph only draws quadrant I, so $k$, $x$ and $y$ are both positive. making this transition appropriate) As $x$ becomes larger, $x/k$ also increases in value, but because they are under a square root, they are increasing at a decreasing rate. D fits this description.
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