Chapter 11.2, Problem 10CYU

To determine

To graph: The function $y=\frac{3}{x-1}+2$ .

Explanation of Solution

Given: $y=\frac{3}{x-1}+2$

The given function, $y=\frac{3}{x-1}+2$

For vertical asymptote set denominator to 0

  $x=1$

For horizontal asymptote, $x\to \infty$

  $y=2$

Now make the table of x and y

  $\begin{array}{ccccc}x& -2& 0& 2& 4\\ y& 1& -1& 5& 3\end{array}$

Plot the points and shown graph below.