Question

Does this graph have any vertical asymptotes? If so, where?

Answer 1

There are no vertical asympotes for this rational function.

Explanation:

For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:

`C(p) = (25000\cdot p)/(100-p)`,
`0\le p < 100`

There is a vertical asymptote for this case:

`100-p = 0`

`p = 100`

Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.