Question

Find the range of f(x) = –x + 4 for the domain {–3, –2, –1, 1}.

Answer 1

`\boxed{ \{7, 6, 5, 3 \} }`

Explanation:

The domain is all possible values for x.

The range is all possible values for f(x) or y.

The domain given is {-3, -2, -1, 1}.

Plug x as {-3, -2, -1, 1} and find the f(x) or y values.

`f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3`

The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.