Question

The function g is defined as follows for the domain given g(x) = 3x - 2 , omain = \{- 2, - 1, 0, 1\} Write the range of g using set notation. Then graph g

Answer 1

Given: The function below

`\begin{gathered} g(x)=3x-2 \\ Domain:\lbrace-2,-1,-0,1\rbrace \end{gathered}`

To Determine: The range and the graph of g

Solution

The range is as given below

`\begin{gathered} x=-2 \\ g(-2)=3(-2)-2=-6-2=-8 \\ x=-1 \\ g(-1)=3(-1)-2=-3-2=-5 \end{gathered}`
`\begin{gathered} x=0 \\ g(0)=3(0)-2=0-2=-2 \\ x=1 \\ g(1)=3(1)-2=3-2=1 \end{gathered}`

Hence, the range is

{-8, -5, -2, 1}

Let us form a table showing the domain(x) and the range (g(x))

Let us use the table to plot graph of the domain(x) against the range(g(x)) as below