How do you graph #y=(x^2-2x)/(2x+3)# using asymptotes, intercepts, end behavior?
1 Answer
graph{(x^2-2x)/(2x+3) [-20, 20, -10, 10]}
Explanation:
a)
You can already tell that it has a vertical asymptote. Just let the denominator equal to zero and solve for
b)
c)
Next, if
Roughly speaking;
*Mathematicians hate seeing the infinity symbol used like this. I think it is because infinity cannot simply be seen as a number but more of a concept.
d)
Finally, find the turning points;
In other words;
Using
So far, you have found these important points:
-Asymptote
-Points
-
-Turning points at
These should be enough to help you see the shape of your graph.
Cheers.