Unit 5 Rationals Test Review

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a rational function approaches infinity or negative infinity.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a line y = b that a rational function approaches as x approaches infinity or negative infinity.

Front

How do you find vertical asymptotes?

Back

Set the denominator of the rational function equal to zero and solve for x.

Front

What does it mean when a factor cancels in a rational function?

Back

It indicates a hole in the graph of the function at that x-value.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What happens when the degree of the numerator is greater than the degree of the denominator?

Back

The rational function has no horizontal asymptote.

Front

What is the simplified form of (x-9)/(x+9)?

Back

The simplified form is (x-9)/(x+9) (no further simplification possible).

Front

What is the significance of a hole in a rational function?

Back

A hole indicates that the function is not defined at that specific x-value.

Front

How do you determine the horizontal asymptote of a rational function?

Back

Compare the degrees of the numerator and denominator.