Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - Cumulative Standards Review - Multiple Choice - Page 130: 28

Answer

$f(-3) = -\dfrac{16}{5}; \quad f(0) = -2; \quad f(1) = -\dfrac{8}{5}$

Work Step by Step

To find $f(-3)$, we plug in $-3$ for $x$ into the equation: $f(-3) = \frac{2}{5}(-3) - 2$ $f(-3) = -\frac{6}{5} - 2$ $f(-3) = -\frac{6}{5} - \frac{10}{5}$ $f(-3) = -\frac{16}{5}$ To find $f(0)$, we plug in $0$ for $x$ into the equation: $f(0) = \frac{2}{5}(0) - 2$ $f(0) = 0 - 2$ $f(0) = -2$ To find $f(1)$, we plug in $1$ for $x$ into the equation: $f(1) = \frac{2}{5}(1) - 2$ $f(1) = \frac{2}{5} - 2$ $f(1) = \frac{2}{5} - \frac{10}{5}$ $f(1) = -\frac{8}{5}$
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