Question

Graph the rational function y=x-1/x-2. Both branches of the rational function pass through which quadrant?

Quadrant 1
Quadrant 3
Quadrant 4
Quadrant 2

Answer 1

`1`

Explanation:

graph{y=(x-1)/(x-2) [-20, 20, -10, 10]}
The rational function
`y=(x-1)/(x-2)`
plotted with the help of inbuilt graphics tool looks like as above.

We see that both branches pass through quadrant `1`. We see that in other quadrants either one or no branch runs through.

Please refer to then figure below for definition of quadrants.