# Asymptotes – A quotient of polynomials with parameters – Exercise 2253

### Exercise

Given that the lines x = 1 and y = 2 are asymptotes of the function

$$f(x)=\frac{kx^2-5x+3}{mx^2-k+4}$$

Find the parameters m and k and check if the function has additional asymptotes.

$$m=4, k=8, x=-1$$