Answer:
The attached graph.
Step-by-step explanation:
Given that : Function \(f(x)=log_3(x-2)\)
The graph of the equation \(f(x)=log_3(x-2)\) is shown in the figure below.
As you can see, the x-intercept is the point(3,0).
The domain of this function is→ \((2,\infty ),\begin{Bmatrix}x\left |x>2\end{Bmatrix}\) for all integer n.
The range is the set of all real numbers →(-\infty,\infty),\begin{Bmatrix}
y\left |y\varepsilon \mathbb{R}
\end{Bmatrix}
The graph is in the first and fourth quadrant.
