Question

Find the range of each function for the given domain.6. f (x) = -4x + 7;{-2,0, 2}FR:

Answer 1

The domain of the function are the values of x while the range of the function are the corresponding values of f(x).

Given the function:

`f(x)=-4x+7`

The given domain is: {-2, 0, 2}

`\begin{gathered} \text{When }x=-2,\; f(-2)=-4(-2)+7=8+7=15 \\ \text{When }x=0,\; f(0)=-4(0)+7=0+7=7 \\ \text{When }x=2,\; f(2)=-4(2)+7=-8+7=-1 \end{gathered}`

Therefore, the range of f(x) for the domain {-2, 0, 2} is:

`R\colon\text{ }\{-1,7,15\}`