Given :
[tex]f(x)=2x-8[/tex]x-intercept is the value of x when f(x) = 0
so, f(x) = 0
[tex]\begin{gathered} 2x-8=0 \\ 2x=8 \\ x=\frac{8}{2}=4 \end{gathered}[/tex]x-intercept = 4
Root = x-intercept = 4
solution of the function = Root = x-intercept = 4
y-intercept is the value of f(x) when x = 0
so, x = 0
[tex]f(x)=2\cdot0-8=-8[/tex]y-intercept = -8
The graph of the function will be as shown in the following image:
