Vertical asymptotes - Warm Up

Front

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

Back

It means that the denominator equals zero.

Front

What is a vertical asymptote?

Back

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

Front

Back

Front

State the vertical asymptote for the function that has a vertical asymptote at x = -5.

Back

Front

Find the vertical asymptotes for the function that factors to include an x.

Back

Front

What happens to the function value as x approaches a vertical asymptote?

Back

The function value 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

If a function has a vertical asymptote at x = 3, what can be said about the function at x = 3?

Back

The function is undefined at x = 3.

Front

What is the significance of vertical asymptotes in graphing functions?

Back

They indicate where the function will not cross and where it approaches infinity.

Front

Can a function have more than one vertical asymptote?

Back

Yes, a function can have multiple vertical asymptotes.