Graph the rational function y=x/2x+2. Which quadrant does neither branch of the rational function pass through?

Quadrant 1
Quadrant 3
Quadrant 2
Quadrant 4

1 Answer
Mar 20, 2017

The rational function does not pass through Quadrant 4

Explanation:

I am assuming that there are parentheses around the phrase #2x+2#.

That is, the function is #y = x/(2x+2)#.

The graph of #y = x/(2x+2)# looks like this:
graph{x/(2x+2) [-10, 10, -5, 5]}

As you can see, the rational function passes through every quadrant except the lower right quadrant (that is, Quadrant 4).

Final Answer