Question

What is the range of the function f(x) = -3x + 1 when the domain is {-2, 0, 3}?

A. {7, 1, -8}
B. {-5, 1, -8}
C. {-31, -29, -32}
D. all real numbers

Answer 1

• A. {7, 1, -8}

Explanation:

Given function:

• f(x) = -3x + 1

Set of domain is:

• {-2, 0, 3}

To find each term of the range substitute the terms of the domain in the function:

• f(-2) = -3(-2) + 1 = 6 + 1 = 7
• f(0) = -3(0) + 1 = 0 + 1 = 1
• f(3) = -3(3) + 1 = -9 + 1 = - 8

Set of range:

• {7, 1, -8}

Correct option is A