given function,
[tex]\log _2(x+8)-4[/tex]
domain of the function is,
[tex](-8,\infty)[/tex]
Range of the function is,
[tex](-\infty,\infty)[/tex]
End behaviour of the function is,
[tex]\begin{gathered} \text{ x}\rightarrow\infty\text{ f(x)}\rightarrow\infty \\ \text{x}\rightarrow-\infty\text{ f(x)}\rightarrow-\infty \end{gathered}[/tex]
X- intercept of the function is,
[tex](8,0)[/tex]
Asymptotes of the function is,
vertical asymptote.
[tex]x=8[/tex]
the table ,
the graph when you plot the points,
the graph will look like this,
