Rational Functions

1. Horizontal asymptote

1.1. horizontal line that the function approaches but never actually reaches. Y=0 if the degree of the numerator is less than(<) the degree of the denominator. If the degree of the numerator equals (<) the degree of the denominator Y=leading coefficient of numerator/leading coefficient of denominator.

2. Holes

2.1. Excluded value of the function represented in the graph by a vacant circle. Excluded values presented in the numerator and denominator (cancel)

3. Slant asymptote

3.1. When the polynomial in the numerator is a higher degree than the polynomial in the denominator

4. x-intercept & y-intercept

4.1. The x-intercept is where the function touches the x axis (zeros). You find them by equalling the value of y to zero.

4.2. The y-intercept is where the function touches the y axis. You find them by equalling the value of x to zero.

5. vertical asymptote

5.1. A vertical line with the function never touches of crosses. They are the excluded values of a function that aren't canceled out.