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Rational Functions

Analyze the characteristics of the graph of a Rational Function

QuestionAnswer
What are the Points of Discontinuity? The vertical asymptotes & x-values of the holes.
What forms a hole in the Rational Function graph? A factor that simplifies out of a rational function.
How do you know a Rational Function has a horizontal asymptote of y=0? The degree of the numerator is less than the degree of the denominator.
How do you know the Rational Function does not have a horizontal asymptote? The degree of the numerator is greater than the degree of the denominator.
How do you determine the horizontal asymptote of a Rational Function when the degree of the numerator equals the degree of the denominator? Find the ratio of the leading coefficients.
How do you determine the vertical asymptote(s) of a Rational Function? After simplifying set any factor left in the denominator equal to zero and solve.
What is a Rational Function? The ratio of two polynomial functions where the denominator cannot equal zero.
How do you find the y-value of the hole? Plug the x-value back into the simplified function and evaluate.
What is an asymptote of a graph? A line the graph approaches. The line can be vertical or horizontal.
How do you simplify a Rational Function? First factor the numerator and denominator. Then, reduce monomial terms & cancel out factors that match.
Created by: charity.williams
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