Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - Concept Byte - Page 454: 28

Answer

An exponential function is of the form $y=ab^x$, where $a$ and $b$ are real, non-zero numbers. Exponential functions do not need to account for a term number (unlike geometric sequences).

Work Step by Step

A geometric sequence is of the form $y=ar^{x-1}$, where $a$ and $r$ are real, non-zero numbers. An exponential function could be used to describe a geometric sequence. Assume $a, b, x,$ and $y$ are real, non-zero numbers. $y=ab^x$ $y/b=ab^x/b$ $y/b = ab^{x-1}$
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