What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?

Question

A.
R = {-7, -1, 9, 17}
B.
R = {-7, 1, 9, 17}
C.
R = {1, 7, 9, 17}
D.
R = {-17, -9, -1, 17}

Answer 1

To find the range of the function, we need to determine the possible values of f(x) for the given domain D.

When x = -4:
f(-4) = 4(-4) + 9 = -16 + 9 = -7

When x = -2:
f(-2) = 4(-2) + 9 = -8 + 9 = 1

When x = 0:
f(0) = 4(0) + 9 = 0 + 9 = 9

When x = 2:
f(2) = 4(2) + 9 = 8 + 9 = 17

Therefore, the range of the function with the given domain is R = {-7, 1, 9, 17}. So, the correct answer is option C.