Rational Functions

What is the y-intercept?

• -1

• 0

• 4

• None

• -1
• 0
• 4
• None

List the x value for the resulting hole in the graph?

• 2

• 2 and 3

• -3

• 3

• There is a hole at x=3

• There is a hole at x= -2

• The horizontal asymptote is at y=0

• The domain is {x|x≠2,3}

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

• The function is discontinuous at x={-5, -3}

The horizontal asymptote equals zero when:

• the exponents in the numerator and denominator are equal

• the exponents in the denominator are greater than the numerator

• the exponents in the numerator are greater than the denominator

• the numerator equals zero

Which statement best describes the graph of \frac{x^2+9}{2x-6}?

• The graph has a vertical asymptote at x=3

• The graph has no vertical asymptote

• The graph has a vertical asymptote at x=-3

• The graph has vertical asymptotes at x=3 and x=-3

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

Label the graph

b

c

d

e

a

y-intercept

origin

Horizontal Asymptote

x-axis

Vertical Asymptote

What are the asymptotes?

• x=-3, y=1

• x=3, y =1

• x=-3, y =-1

• x=3 y=-1