Graphing Rational Functions Review

Front

What is the domain of a rational function?

Back

The domain of a rational function is the set of all real numbers except where the denominator is zero.

Front

What is the range of a rational function?

Back

The range of a rational function is the set of all real numbers except for any horizontal asymptotes.

Front

How do you find the x-intercept of a rational function?

Back

To find the x-intercept, set the numerator equal to zero and solve for x.

Front

What is a vertical asymptote?

Back

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

Front

How do you determine vertical asymptotes?

Back

Vertical asymptotes are determined by setting the denominator equal to zero and solving for x.

Front

What is a horizontal asymptote?

Back

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

Front

How do you find horizontal asymptotes?

Back

Horizontal asymptotes can be found by analyzing the degrees of the numerator and denominator.

Front

What is the end behavior of a rational function?

Back

End behavior describes how the function behaves as x approaches positive or negative infinity.

Front

What is the significance of the degree of the numerator and denominator?

Back

The degree of the numerator and denominator helps determine the number of x-intercepts and the presence of asymptotes.

Front

What is the relationship between the degree of the numerator and the degree of the denominator?

Back

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.