Question

The domain of f(x)=−x+11 is {−9,−4, 0, 2, 7}.

The range of f(x) is
Responses

A. {-1, 11, 19, 30, 35}
{-1, 11, 19, 30, 35}

B. {7, 8, 9, 19, 26}
{7, 8, 9, 19, 26}

C. {4, 9, 11, 15, 20}
{4, 9, 11, 15, 20}

D. {-3, 3, 4, 9, 13}

Answer 1

To find the range of the function f(x), we need to substitute each value from the domain into the function and evaluate it.

Substituting -9:
f(-9) = -(-9) + 11 = 9 + 11 = 20

Substituting -4:
f(-4) = -(-4) + 11 = 4 + 11 = 15

Substituting 0:
f(0) = -(0) + 11 = 11

Substituting 2:
f(2) = -(2) + 11 = 9

Substituting 7:
f(7) = -(7) + 11 = 4

The range of f(x) is {20, 15, 11, 9, 4}, which corresponds to option C: {4, 9, 11, 15, 20}.