Question

How do you find the `y`-intercept of `f( x ) = \frac { x ^ { 2} - 8x + 5} { 11x }`?

Answer 1

The function does not have a y-intercept.

Explanation:

The normal process to find the y-intercept is to evaluate the function at `x = 0` but is impossible, because it causes division by 0. Therefore, we must look at want the function does as x approaches 0:

The function approaches `oo` as x approaches 0 from the positive direction and `-oo` as x approaches 0 from the negative direction.

In this situation, it is said to have an undefined value and there is no y-intercept.