CPM Homework Help : CCA Problem 11-131

Fully investigate the function $g(x)=\frac{x+2}{x-1}$ on graph paper and name all $x$ - and $y$ -intercepts. What happens at $x=1$ ?

Hint:

Notice that $x=1$ makes the function undefined.
Try making a table and using $x=0,0.5,0.8,0.9,1.1,1.2,1.5,2$ .

Answer:

$y$ -intercept: $(0,−2)$
$x$ -intercept: $(−2,0)$
There is no value for $g(1)$ because dividing by zero is undefined.
This creates a break in the graph.

Use the eTool below to help you find the $x$ - and $y$ -intercepts.
Click on the link at right for the full eTool version: CCA 11-131 HW eTool