Rational Function Graphs

Front

What are the asymptotes of the rational function?

Back

x = -3, y = 1

Front

What is the definition of an ASYMPTOTE?

Back

A line that a curve approaches, as it heads towards infinity.

Front

What is the horizontal asymptote of the function?

Back

y = 7

Front

What does the graph of a rational function typically look like?

Back

It can have vertical and horizontal asymptotes, and may have holes depending on the function.

Front

How is the function transformed from the parent function if it is translated right and down?

Back

The function is shifted to the right and down on the graph.

Front

What is a vertical asymptote?

Back

A vertical line that a graph approaches but never touches, typically where the function is undefined.

Front

How do you find the vertical asymptotes of a rational function?

Back

Set the denominator equal to zero and solve for x.

Front

What is the significance of horizontal asymptotes?

Back

They indicate the behavior of the function as x approaches infinity or negative infinity.

Front

What is the parent function of a rational function?

Back

The simplest form of a rational function, typically f(x) = 1/x.

Front

What happens to the graph of a rational function at its asymptotes?

Back

The graph approaches the asymptote but never crosses it.