Exploring Graph Characteristics of W22B.V

What happens to the graph of a rational function when the denominator is zero?

• The graph disappears.

• The graph has an asymptote.

• The graph has a hole.

• The graph becomes a straight line.

What is an asymptote?

• A point where the graph intersects the x-axis.

• A line that the graph crosses.

• A line that the graph approaches but never touches.

• A point where the graph intersects the y-axis.

What is the equation form of a horizontal asymptote?

• x = some value

• y = some value

• z = some value

• w = some value

What is the equation form of a vertical asymptote?

• y = some value

• x = some value

• z = some value

• w = some value

How do asymptotes affect the domain of a rational function?

• They define the values that are excluded from the domain.

• They create holes in the domain.

• They do not affect the domain.

• They make the domain infinite.

How do asymptotes affect the range of a rational function?

• They make the range infinite.

• They define the values that are excluded from the range.

• They create holes in the range.

• They do not affect the range.

In the first example, what is the vertical asymptote?

• x = -1

• x = 1

• x = 3

• x = 0

In the first example, what is the horizontal asymptote?

• y = 1

• y = -1

• y = 0

• y = 3

In the second example, what is the vertical asymptote?

• x = 3

• x = 0

• x = -1

• x = 1

In the second example, what is the horizontal asymptote?

• y = 0

• y = -5

• y = -3

• y = -1