Question

when the domain of $f(x) = -3x - 10$ is ${-4, -2, 5, 6}$, what is the range?
○ ${-28, -25, -4, 2}$
○ ${-22, -16, 5, 8}$
○ ${-2, 4, 25, 28}$
○ ${-13, -10, -7, -4}$

Explanation:

Step1: Substitute \( x = -4 \) into \( f(x) \)

\( f(-4) = -3\times(-4) - 10 = 12 - 10 = 2 \)

Step2: Substitute \( x = -2 \) into \( f(x) \)

\( f(-2) = -3\times(-2) - 10 = 6 - 10 = -4 \)

Step3: Substitute \( x = 5 \) into \( f(x) \)

\( f(5) = -3\times5 - 10 = -15 - 10 = -25 \)

Step4: Substitute \( x = 6 \) into \( f(x) \)

\( f(6) = -3\times6 - 10 = -18 - 10 = -28 \)

Answer:

\(\{-28, -25, -4, 2\}\)