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Grade 12 Rational Functions Diagnostic (DZ)

Total questions: 12

Worksheet time: 1hrs 1mins

Name
Class
Date
1.
What is the X-Intercept?
a)
x= 0
b)
x= 4
c)
x= 5
d)
x= -5
2.
What are the x-intercepts?
a)
x= 2/3
b)
x= 4, x = -2
c)
x= -8, x = 1
d)
x= -4, x = 2
3.
What are the asymptotes?
a)
x=1, x= 2, y =1, y= 2
b)
x= 2, x=-2, y = 1
c)
x=2 y =-1
d)
x=1 y =2, y =-2
4.
How is this function transformed from the parent function?
a)
Translated left and up
b)
Translated right and up
c)
Translated left and down
d)
Translated right and down
5.
Where is the removable discontinuity?
a)
x=2
b)
x=2 and x=3
c)
x=-3
d)
x=3
6.
What is the horizontal asymptote of this function?
a)
y=2
b)
x=1/2
c)
y=1
d)
y=1/2
7.
What is the Vertical Asymptotes? 
a)
x= -5
b)
x= 5
c)
x= 6
d)
x= -6
8.

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

a)
b)
c)
d)
9.

What is the equation of the graph?

a)
b)
c)
d)
10.

Find the y-intercept.

a)

(0, -2)

b)

(0, 2)

c)

(0, 4)

d)

it is undefined

11.

Solve the equation.  6x291x3=1\frac{6}{x^2-9}-\frac{1}{x-3}=1  

a)

-4

b)

2

c)

 1±732\frac{-1\pm\sqrt{73}}{2}  

d)

3 or -4

12.

 3x22x+2\frac{3}{x-2}\le\frac{2}{x+2}  

a)

 10<x<2-10<x<-2  

b)

 10x2-10\le x\le-2  

c)

 x10 or 2<x<2x\le-10\ or\ -2<x<2  

d)

 x<10 or 2<x2x<10\ or\ -2<x\le2