Holes and Vertical Asymptotes

Front

What is the equation of the vertical asymptote?

Back

x = 4

Front

Where is the hole?

Back

x = 5

Front

The equation of a vertical asymptote is written in the form:

Back

x =

Front

State the vertical asymptote.

Back

x = -5

Front

What is the definition of an ASYMPTOTE?

Back

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

Front

What is a hole in a function?

Back

A point where a function is not defined due to a factor that cancels out.

Front

How do you find vertical asymptotes?

Back

Set the denominator of a rational function equal to zero and solve for x.

Front

What happens to the function at a vertical asymptote?

Back

The function approaches infinity or negative infinity.

Front

Can a function have more than one vertical asymptote?

Back

Yes, a function can have multiple vertical asymptotes.

Front

What is the relationship between holes and vertical asymptotes?

Back

Holes occur where a factor cancels out, while vertical asymptotes occur where the denominator is zero.