Question

1. if the domain of the function f(x) = 2x² - 4 is {-4, 2, 7}, then what is the range?

Explanation:

Step1: Find f(-4)

Substitute \( x = -4 \) into \( f(x) = 2x^2 - 4 \).
\( f(-4)=2\times(-4)^2 - 4 = 2\times16 - 4 = 32 - 4 = 28 \)

Step2: Find f(2)

Substitute \( x = 2 \) into \( f(x) = 2x^2 - 4 \).
\( f(2)=2\times(2)^2 - 4 = 2\times4 - 4 = 8 - 4 = 4 \)

Step3: Find f(7)

Substitute \( x = 7 \) into \( f(x) = 2x^2 - 4 \).
\( f(7)=2\times(7)^2 - 4 = 2\times49 - 4 = 98 - 4 = 94 \)

Answer:

The range of the function is \(\{4, 28, 94\}\)