Vertical asymptotes - Warm Up

Front

What does 'undefined' mean in the context of rational functions?

Back

It means that the denominator equals zero.

Front

To find the vertical asymptotes of a rational function, you must set the _________ equal to zero and solve.

Back

denominator

Front

Find the vertical asymptotes for the function where the denominator factors to x(x + 2).

Back

x = 0, -2

Front

Which asymptote(s) are determined by looking at the denominator?

Back

Vertical asymptotes.

Front

What are the asymptotes for the function with vertical asymptote x = 2 and horizontal asymptote y = 1?

Back

x = 2 and y = 1.

Front

What is a vertical asymptote?

Back

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

Front

How do you find vertical asymptotes in a rational function?

Back

Set the denominator equal to zero and solve for x.

Front

What happens to the function as it approaches a vertical asymptote?

Back

The function's value increases or decreases without bound.

Front

Can a function have more than one vertical asymptote?

Back

Yes, a function can have multiple vertical asymptotes.

Front

What is the significance of vertical asymptotes in graphing rational functions?

Back

They indicate where the function is undefined and help shape the graph.