## Precalculus (6th Edition) Blitzer

Let us draw the graph of the function $f\left( x \right)=\ln x$ and $g\left( x \right)=\ln \left( x-2 \right)+1$ as follows: Step 1: Find the $x\text{-intercept}$ and $y\text{-intercept}$ as follows: Consider the function $f\left( x \right)=\ln x$ $\left( 1,0 \right)$ is the only $x\text{-intercept}$ And consider the function $g\left( x \right)=\ln \left( x-2 \right)+1$. $\left( 2.3678,0 \right)$ is the intercept, where 2.3678 is the approximate value of $\frac{1}{e}+2$. Step 2: Plot the intercept on the rectangular plane. Step 3: Use a smooth curve along its asymptotes and draw the curve. The graph of the function $f\left( x \right)=\ln x$ intersects the x-axis at the point $\left( 1,0 \right)$.