Rational Functions Test - Algebra II

Front

What is a rational function?

Back

Front

What determines the vertical asymptotes of a rational function?

Back

Vertical asymptotes are determined by the values of x that make the denominator equal to zero, provided that these values do not also make the numerator zero.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

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

Back

Front

What is synthetic division?

Back

Front

What are excluded values in a rational function?

Back

Excluded values are the values of x that make the denominator of a rational function equal to zero, as these values are not in the domain of the function.

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Back

Front

Back

Front

What is the significance of the leading coefficient in determining horizontal asymptotes?

Back

The leading coefficient of the numerator and denominator polynomials helps determine the horizontal asymptote when the degrees of the polynomials are equal.

Front

What is a slant (oblique) asymptote?

Back

A slant asymptote occurs when the degree of the numerator is exactly one more than the degree of the denominator, and it can be found using polynomial long division.