Question

Which of the following represents the range of the function f(x) = -4x + 1 for the domain {-5, -1, 0, 2, 10}?

A) {-39, -7, 1, 5, 21}
B) {-41, -9, 1, 5, 21}
C) {-19, -3, 1, 5, 21}
D) {-41, -9, -3, -19}

Answer 1

The range of the function f(x) = -4x + 1 for the given domain is {-39, -7, 1, 5, 21}.

Step-by-step explanation:

The range of a function is the set of all possible output values. In this case, the function is f(x) = -4x + 1 and the given domain is {-5, -1, 0, 2, 10}.

To find the range, substitute each value from the domain into the function and calculate the corresponding output:

• f(-5) = -4(-5) + 1 = 21
• f(-1) = -4(-1) + 1 = 5
• f(0) = -4(0) + 1 = 1
• f(2) = -4(2) + 1 = -7
• f(10) = -4(10) + 1 = -39

The range of the function is therefore {-39, -7, 1, 5, 21}, which corresponds to option A.