Rational Functions AP Precalculus

What is the Horizontal Asymptote?

• None
• y= 0
• y= 1
• y= 5/4

What is the horizontal asymptote to this function?

• x=4
• y=0
• none
• y=4

Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

A line that the graph continually approaches but never touches is a(n) _____________________

• parabola
• asymptote
• rational function
• None of these

Complete this sentence.

There is a vertical asymptote...

• when the denominator equals zero

• when the degree of the numerator is exactly one more than the denominator

• when there is a common factor in the numerator and denominator

• when the degree of the numerator is the same as the denominator

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

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

What is the hole?

• x= 4

• x= -4

• x= 5

• x= -5

Are there any "holes" in the graph? If so...where?

• yes, at x= -1

• yes, at x= 1

• yes, at x= 0

• no