Rational Function Asymptotes and Holes

Rational Function Asymptotes and Holes

11th Grade

20 Qs

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Rational Function Asymptotes and Holes

Rational Function Asymptotes and Holes

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7D

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Find the vertical asymptote.
g\left(x\right)=\frac{\left(x+3\right)\left(x-2\right)}{\left(x+5\right)\left(2x-1\right)}

x=-5

x=1/2

x=-1/2

x=-3

x=2

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE SELECT QUESTION

1 min • 1 pt

A hole occurs where x=3

vertical asymptote at x=3

vertical asymptote at x=5

A hole occurs where x=5

To finish finding the coordinates of a hole, place the x value in the reduced equation

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

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

x=0

x=-3

x=6

x=-7

x=3

Tags

CCSS.HSF-IF.C.7D

4.

MATCH QUESTION

1 min • 1 pt

The horizontal asymptote equals zero when:

divide the coefficients

the degree of the numerator is less by one or more of the denominator

y=0

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

None

the degree of the numerator is exactly one degree more than the demoninator

Slant asymptote

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

y=0

the degree of the numerator and denominator are equal

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Select ALL the information that applies to the given rational function.

Vertical Asymptote is x = 2

No Hole

Horizontal Asymptote is y = -1/3

x-intercept is (3, 0)

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Select ALL the information that applies to the given rational function.

Vertical Asymptote is x = 1

No Holes

Horizontal Asymptote is y = 0

No Horizontal Asymptote

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Select ALL the information that applies to the given rational function.

Vertical Asymptote is x = -4

No Holes

Horizontal Asymptote is y = -1/4

No Horizontal Asymptote

Vertical Asymptote is x = 4

Tags

CCSS.HSF-IF.C.7D

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