Question

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

Answer 1

Answer:

There are no vertical asympotes for this rational function.

Step-by-step 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:

$C(p) = \frac{25000\cdot p}{100-p}$, $0\le p < 100$

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.