Attributes of Rational Functions

Front

What is a rational function?

Back

Front

What is the domain of a rational function?

Back

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

Front

What is a vertical asymptote?

Back

Front

How do you find vertical asymptotes?

Back

To find vertical asymptotes, set the denominator of the rational function equal to zero and solve for x.

Front

What is a horizontal asymptote?

Back

Front

How do you find horizontal asymptotes?

Back

Front

What is the significance of holes in a rational function?

Back

Holes occur in a rational function when a factor cancels out in both the numerator and denominator, indicating a point where the function is undefined.

Front

What is the range of a rational function?

Back

The range of a rational function is the set of all possible output values, which can be determined by analyzing the behavior of the function.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at points where the denominator equals zero, as division by zero is not possible.

Front

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

Back

The relationship determines the behavior of the function at infinity and the existence of horizontal asymptotes.