Question

If f(x) = x^2 - 4x + 3, and the domain is {-2, 0, 1}, what is the range?

A) {7, 3, 0}


B) {-9, 3, 1}


C) {-1, 3, 1}


D) {15, 3, 0}

Answer 1

The domain {-2, 0, 1} of the function f(x) = x² - 4x + 3 → y = x² - 4x + 3.

Calculate the values of y for each values of x from domain:

for x = -2 → y = (-2)² - 4(-2) + 3 = 4 + 8 + 3 = 15

for x = 0 → y = 0² - 4(0) + 3 = 0 + 0 + 3 = 3

for x = 1 → y = 1² - 4(1) + 3 = 1 - 4 + 3 = 0

The range is D) {15, 3, 0}