Algebra 1: Common Core (15th Edition)

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

Chapter 11 - Rational Expressions and Functions - Common Core Cumulative Standards Review - Selected Response - Page 720: 1


Answer choice $D$

Work Step by Step

The question is asking for the equation of the linear function in slope-intercept form, which is written as: $f(x) = mx + b$ where $m$ is the slope, and $b$ is the value of $f(x)$ when $x = 0$. The formula for the slope of a function is $\frac{\triangle f(x)}{\triangle x}$. The change in $x$ every time is $+1$. The change in $f(x)$ every time is $+2$. The slope is $2$. $f(x) = 2x + b$ The value of $f(x)$ when $x=0$ is $1$, so the equation of this function is $\boxed{f(x) = 2x + 1}$ The answer is $\boxed D$.
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