Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Practice and Problem-Solving Exercises - Page 259: 41

Answer

The graph and table for y=2x and y=2$x^{2}$ are shown below. For the function y=2x when you double the value of x, the y value also doubles. For the function y=2$x^{2}$ when you double the value of x, the y value is multiplied by four (quadruples).
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Work Step by Step

For y=2x, when the value of x doubles the value of y doubles. For example, looking at the point (1,1) and (2,2) we see that when we double the x value and y value also doubles. For y=2$x^{2}$ the value of y quadruples when the value of x doubles. For example, looking at the point (1,2) and (2,8) we see that when we double the x value and y value is quadrupled as the 2 times 4 equals 8.
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