Question

Graph the function g(x). I have a picture of the problem.

Answer 1

Let's begin by listing out the given information

`\begin{gathered} g\mleft(x\mright)=(3)/(2)x-7 \\ g(x)=y \\ y=(3)/(2)x-7 \end{gathered}`

We will proceed to assume values for x to obtain the y-values (x = -2, 0, 4, 8)

`\begin{gathered} y=(3)/(2)x-7 \\ x=-2 \\ y=(3)/(2)(-2)-7=-3-7=-10 \\ x=0 \\ y=(3)/(2)(0)-7=0-7=-7 \\ x=4 \\ y=(3)/(2)(4)-7=6-7=-1 \\ x=8 \\ y=(3)/(2)(8)-7=12-7=5 \\ (x,y)=(-2,-10),(0,-7),(4,-1),(8,5) \end{gathered}`

We will plot these points on the graph. We have: