Hole of Rational Function

Name any holes of the function.

• x=0

• none

• x=1

• a hole at (-5, 8.5)

• a hole at (3, 0)

• a hole at (5, 8.5)

• a hole at (-5, 0)

• a hole at (-3, 11)

• a hole at (-3, 0)

• no holes

• a hole at (5, 0)

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

A hole occurs when....

• You wear pants that are too tight.

• A factor from the numerator cancels with a factor in the denominator.

• The degree of the numerator is one more than the degree of the denominator.

• The denominator cannot be factored.

• 2

• -2

• -6

• 6

Select all of the true statements.

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

Identify the x-value of the hole(s).

• x=0

• x=-3

• x=6

• x=-7

• x=3

Is there a hole or a vertical asymptote?

• A hole when x = 2

• A vertical asymptote at x = 2

• there is no hole or vertical asymptote

(x²+11x+24)/(x²+4x-32)

• (x+7)/(x+4)

• 3/4

• (x+3)/(x+4)

• (x+3)/(x-4)

Select all the following statements that are true.

• Vertical asymptote at x=1

• Vertical asymptote at x=0

• No vertical asymptote

• Hole at (-1, 0)

• Hole at (1, -1)