Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.3 Exponential Functions - 5.3 Assess Your Understanding - Page 281: 33


linear $H(x)=2x+4$

Work Step by Step

The ratio of consecutive values is not constant (because $\frac{4}{2}\ne\frac{6}{4}$) hence, the function is not exponential. The difference of consecutive values is constant ($2$), hence the function is linear and the slope (the coefficient of $x$) is $2$. $H(0)=4$ so the $y$-intercept is $4$. Thus, the slope-intercept form of the function that models the data is $H(x)=2x+4.$
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