Question

At what value of w does the graph have a vertical asymptote? Explain how you know and what this asymptote means in the situation.

Answer 1

Vertical asymptote are vertical lines which corresponds to the zeros of the denominator of our rational function. Then, the zeros of T(w) ocurr when

`530-w=0`

which gives

`w=530`

Therefore, the vertical asymptote is w = 530.

The asymptote is a line that the graph function approaches but never touches. In our case, this means that the speed of the wind is very close to 530 mph but never touches this value.