More Practice: Rational Functions

Front

A vertical asymptote is found by setting the _________ to zero and solving for x.

Back

Denominator

Front

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

Back

Replace all x-values with 0.

Front

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

Back

Replace the y-value with 0 or make the numerator equal to 0.

Front

How do you determine the Horizontal Asymptote of a rational function?

Back

Compare the degrees of the numerator and denominator.

Front

Where is there a hole on the graph of the function if the function has a factor (x + 2)?

Back

x = -2.

Front

What is a rational function?

Back

A function that can be expressed as the ratio of two polynomials.

Front

What is the general form of a rational function?

Back

f(x) = P(x) / Q(x), where P and Q are polynomials.

Front

What does it mean if a rational function has a hole in its graph?

Back

It means there is a value of x that makes both the numerator and denominator zero.

Front

What is the significance of the degrees of the numerator and denominator in determining horizontal asymptotes?

Back

It helps to identify the behavior of the function as x approaches infinity.

Front

If the degree of the numerator is less than the degree of the denominator, what is the horizontal asymptote?

Back

y = 0.