Free Printable Rational Functions

Worksheets

Rational Functions

Total questions: 20

Worksheet time: 1hrs 21mins

Name

Class

Date

What is the X-Intercept?

x= 0

x= 4

x= 5

x= -5

What are the x-intercepts?

x= 2/3

x= 4, x = -2

x= -8, x = 1

x= -4, x = 2

What are the asymptotes?

x=1, x= 2, y =1, y= 2

x= 2, x=-2, y = 1

x=2 y =-1

x=1 y =2, y =-2

How is this function transformed from the parent function?

Translated left and up

Translated right and up

Translated left and down

Translated right and down

What is the horizontal asymptote?

x = 2

x = 7

y = 2

y = 7

What is the horizontal asymptote to this function?

y=4

y=0

y=-2

y=1

Where is the removable discontinuity?

x=2

x=2 and x=3

x=-3

x=3

Find the horizontal asymptote:

y = 0

y = 1

None

y = 3/2

What is the Vertical Asymptotes?

x= -4

x= -4,5

x= -5,5

x= 4

10.

What is the domain?

x≠ -5,5

x≠ -5,4

x≠ -4,5

x≠ -4,-5

11.

A vertical asymptote is found by setting the _________= to zero and solving for x

Numerator

Denominator

Right side

Left side

12.

How do you find the y-intercept?

replace all x-values with 0

replace all y-values with 0

set denominator equal to 0

compare the degrees of the numerator and denominator

13.

How do you find the x-intercept?

replace all x-values with 0

replace the y-value with 0 or make the numerator equal 0

set denominator equal to 0

compare the degrees of the numerator and denominator

14.

How do you determine the Horizontal Asymptote?

replace all x-values with 0

replace the y-value with 0 or make the numerator equal 0

set denominator equal to 0

compare the degrees of the numerator and denominator

15.

How do you know if a factor in the denominator is a hole instead of a V.A. ?

It cancels out

it equals 0

you set the numerator equal to 0

you compare the degrees

16.

When finding the H.A., if the numerator degree is greater than the denominator degree, the answer is...

y = 0

none

y =a / b

What's an H.A.?

17.

When finding the H.A., if the numerator degree is equal to the denominator degree, the answer is...

y = 0

none

y =a / b

What's an H.A.?

18.

The first thing you should do to find all the attributes for a rational function is...

Factor it all out

Find the V.A.

Find the H.A.

Find the x / y intercepts

19.

Find the horizontal asymptote.

None

y=-2

y=2

y=0

20.

Graph the function.

$f\left(x\right)=\frac{-x+1}{x-4}$

Reset

Rational Functions

Total questions: 20

Worksheet time: 1hrs 21mins

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