Rational Function Characteristics

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

Tags

CCSS.HSF-IF.C.7D

A rational function in the form shown has

• x= h as its horizontal asymptote and y=k as its vertical asymptote

• x=h as its vertical asymptote and y=k as its horizontal asymptote

• x = -h as its horizontal asymptote and y=k as its vertical asymptote

• x = -h as its vertical asymptote and y=k as its horizontal asymptote

• Not sure what an asymptote is but I feel none of the answers listed are correct

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF-IF.C.7D

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}

Tags

CCSS.HSF-IF.C.7D

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

Tags

CCSS.HSF-IF.C.7D

Label the graph

b

c

d

e

a

x-axis

Vertical Asymptote

Horizontal Asymptote

y-intercept

origin

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF-IF.C.7D

• 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}

Tags

CCSS.HSF-IF.C.7D

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

• there is no horizontal asymptote

Tags

CCSS.HSF-IF.C.7D