Rational Functions

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

Label the graph

b

c

d

e

a

x-axis

Horizontal Asymptote

origin

Vertical Asymptote

y-intercept

• Yes

• No

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

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}

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

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