Question

The function f is defined as follows for the domain given. f(x)= 1-3x domain = (-1, 0, 1, 2)(a)Write the range of f using set notation. (b)Then graph f.

Answer 1

(a)Range: {-5, -2 ,1 ,4}

Explanation:

The function f is defined below:

`f\mleft(x\mright)=1-3x`

The domain of f(x) = {-1, 0, 1, 2}.

(a)To find the range of f(x), we evaluate f(x) for each value in the domain.

`\begin{gathered} f\mleft(-1\mright)=1-3\left(-1\right)=1+3=4 \\ f\mleft(0\mright)=1-3(0)=1-0=1 \\ f\lparen1)=1-3(1)=1-3=-2 \\ f\mleft(2\mright)=1-3(2)=1-6=-5 \end{gathered}`

Therefore, the range of f is:

`\{-5,-2,1,4\}`

(b)Next, we graph f.