Question

1. $y = \frac{3}{4}x + 7$; domain = {-8, -4, 12}

Explanation:

Step1: Substitute \( x = -8 \)

Substitute \( x = -8 \) into \( y = \frac{3}{4}x + 7 \).
\( y=\frac{3}{4}\times(-8)+7=-6 + 7 = 1 \)

Step2: Substitute \( x = -4 \)

Substitute \( x = -4 \) into \( y = \frac{3}{4}x + 7 \).
\( y=\frac{3}{4}\times(-4)+7=-3 + 7 = 4 \)

Step3: Substitute \( x = 12 \)

Substitute \( x = 12 \) into \( y = \frac{3}{4}x + 7 \).
\( y=\frac{3}{4}\times12+7 = 9 + 7 = 16 \)

Answer:

The range is \(\{1, 4, 16\}\)