Question

Let $\text{A}=\{5,6,7,8\},$$\text{B}=\{-11,4,7,-10,-7,-9,-13\}$, and $f=\left\{\right(x,y):y=3-2x,x\in \text{A},y\in \text{B}\}$. What is the range of $f$?

• A. $\{-7,-7,-10,-13\}$
• B. $\{-7,-9,-10,-11\}$
• C. $\{7,-9,-11,-13\}$
• D. $\{-7,-9,-11,-13\}$

Answer 1

The correct option is D $\{-7,-9,-11,-13\}$

Given: $y=3–2x$

When $x=5$,

$y=3–2\left(5\right)=3–10=-7$

When $x=6$,

$y=3–2\left(6\right)=3–12=-9$

When $x=7$,

$y=3–2\left(7\right)=3–14=-11$

When $x=8,$

$y=3–2\left(8\right)=3–16=-13$

Range of $f=\{-7,-9,-11,-13\}$