Limits of Rational Functions with Graphs

The graph of which function has a hole (a point or removable discontinuity)?

• no horizontal asymptote

What would the horizontal asymptote be for a rational function whose degree in the numerator is higher than the degree in the denominator?

• no horizontal asymptote

• ratio of leading coefficients

What would the horizontal asymptote be for a rational function whose degree in the numerator is lower than the degree in the denominator?

• no horizontal asymptote

• ratio of leading coefficients

What would the horizontal asymptote be for a rational function whose degree in the numerator is equal to the degree in the denominator?

• no horizontal asymptote

• ratio of leading coefficients

The _____________________________________ of the graph of the function is a zero of the denominator and does not come from a common factor with the numerator.

• hole

• horizontal asymptote

• vertical asymptote

• rational function

Zeros of the denominator that are also zeros of the numerator result in a __________________ in the graph.

• hole

• horizontal asymptote

• vertical asymptote

• rational function