Which function matches this graph?

f ( x ) = − 4 x + 2 f\left(x\right)=\frac{-4}{x+2} f ( x ) = x + 2 − 4

f ( x ) = − 4 x − 2 f\left(x\right)=\frac{-4}{x}-2 f ( x ) = x − 4 − 2

f ( x ) = − 4 x + 2 f\left(x\right)=\frac{-4}{x}+2 f ( x ) = x − 4 + 2

f ( x ) = − 4 x − 2 f\left(x\right)=\frac{-4}{x-2} f ( x ) = x − 2 − 4

Which function matches this graph?

f ( x ) = 1 x + 2 − 1 f\left(x\right)=\frac{1}{x+2}-1 f ( x ) = x + 2 1 − 1

f ( x ) = 1 x − 1 + 2 f\left(x\right)=\frac{1}{x-1}+2 f ( x ) = x − 1 1 + 2

f ( x ) = 1 x + 1 + 2 f\left(x\right)=\frac{1}{x+1}+2 f ( x ) = x + 1 1 + 2

f ( x ) = 1 x − 2 + 1 f\left(x\right)=\frac{1}{x-2}+1 f ( x ) = x − 2 1 + 1

Write the equation for the graph.

y = 1 x + 3 y=\frac{1}{x+3} y = x + 3 1

y = 1 x − 3 y=\frac{1}{x-3} y = x − 3 1

What is the domain of the function?

R e a l s ≠ − 1 Reals\ne-1 R e a l s  = − 1

R e a l s = − 1 Reals=-1 R e a l s = − 1

R e a l s = − 2 Reals=-2 R e a l s = − 2

R e a l s ≠ − 2 Reals\ne-2 R e a l s  = − 2

What is the range of the function?

R e a l s ≠ − 2 Reals\ne-2 R e a l s  = − 2

R e a l s = − 1 Reals=-1 R e a l s = − 1

R e a l s ≠ − 1 Reals\ne-1 R e a l s  = − 1

R e a l s = − 2 Reals=-2 R e a l s = − 2

How does the graph of g ( x ) = 1 x + 4 g\left(x\right)=\frac{1}{x+4} g ( x ) = x + 4 1 compare to the graph of f ( x ) = 1 x f\left(x\right)=\frac{1}{x} f ( x ) = x 1 ?

It is located 4 units to the left.

It is located 4 units to the right.

How does the graph of g ( x ) = 1 x − 3 g\left(x\right)=\frac{1}{x}-3 g ( x ) = x 1 − 3 compare to the graph of f ( x ) = 1 x f\left(x\right)=\frac{1}{x} f ( x ) = x 1 ?

It is located 3 units to the left.

It is reflected over the x-axis.

Rational Graphs Review

Authored by Carolyn Esposito

Mathematics

11th - 12th Grade

CCSS covered

Used 23+ times

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22 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the asymptotes?

VA = -3 HA = 1

VA = 3 HA = 1

VA = -3 HA = -1

VA = 3 HA = -1

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is/are the vertical asymptote(s)?

There are no vertical asymptotes

VA = 5

VA = -5

VA = -1/2

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the domain and range?

D : All real number x ≠ -3
R: All real number y≠ 1

D : All real number x ≠ 1
R: All real number y≠ -3

D : All real number x ≠ 3
R: All real number y≠ 1

D : All real number x ≠ -1
R: All real number y≠ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which asymptote(s) are determined by looking only at the denominator?

vertical

horizontal

both

none

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How do you find the y-intercept for a rational function?

Divide numerator by denominator.

Evaluate f(0).

Set the denominator = 0 and solve.

Set the numerator = 0 and solve.

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A rational function will have a horizontal asymptote at $y=0$ when _________.

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

The degree of the numerator is equal to the degree of the denominator.

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

Rational functions can never have horizontal asymptotes at y=0.

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

what is the equation that best matches the graph?

Tags

CCSS.HSF-IF.C.7D

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Rational Graphs Review

What are the asymptotes?

What is/are the vertical asymptote(s)?

What is the domain and range?

Which asymptote(s) are determined by looking only at the denominator?

How do you find the y-intercept for a rational function?

A rational function will have a horizontal asymptote at $y=0$ when _________.

what is the equation that best matches the graph?

What are the Vertical Asymptotes of...

What is the Horizontal Asymptote?

What is the horizontal asymptote?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Rational Graphs Review

What are the asymptotes?

What is/are the vertical asymptote(s)?

What is the domain and range?

Which asymptote(s) are determined by looking only at the denominator?

How do you find the y-intercept for a rational function?

A rational function will have a horizontal asymptote at y=0y=0y=0 when _________.

what is the equation that best matches the graph?

What are the Vertical Asymptotes of...

What is the Horizontal Asymptote?

What is the horizontal asymptote?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A rational function will have a horizontal asymptote at $y=0$ when _________.