Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-3 Patterns and Nonlinear Functions - Practice and Problem-Solving Exercises - Page 250: 15

Answer

The function can be represented by the rule $y=2x^3$

Work Step by Step

Notice that the y-coordinates of the terms, when divided by 2, equal the cube of the x values. $(1,2): 2=2\times1^3$ $(2,16):16=2\times2^3$ $(3,54):54=2\times3^3$ $(4,128):128=2\times4^3$ $(5,250):250=2\times5^3$ Thus, the function can be represented by the rule $y=2x^3$.
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