Rational functions

Question

I have been given the domain, equation of vertical asymptote, slant asymptote, x and y intercept and the coordinates of a hole, and I have to sketch a graph bases on the information given

Answer 1

You would need to piece together the function based on what you can learn from wat is given. For instance, a hole would mean you would have the same binomial in the numerator and the denominator. A slant asymptote means the numerator will have a larger degree than the denominator. A vertical asymptote (VA) means you would have a denominator with a factor that is the binomial (x - VA), etc.

If you give specifics, we can give specific answers.