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IBY1 MAA SL - Rational Function FA #1

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.
What is the X-Intercept?
a)
x= 0
b)
x= 4
c)
x= 5
d)
x= -5
2.
What is the horizontal asymptote? 
a)
x = 2
b)
x = 7
c)
y = 2
d)
y = 7
3.
What is the horizontal asymptote to this function?
a)
y=4
b)
y=0
c)
y=-2
d)
y=1
4.

What is the vertical asymptotes?

a)

x= -5

b)

x= 5

c)

x= 6

d)

x= -6

5.

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

a)
b)
c)
d)
6.

What is the equation of the rational function graphed?

a)
b)
c)
d)
7.

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

a)
b)
c)
d)
8.

What is the y-Intercept?

a)

y= 0

b)

y= 4

c)

y= 5

d)

y= -5

9.

Given that  x+5x+8 =1+ 6x+1\frac{x+5}{x+8}\ =1+\ \frac{6}{x+1}  , find the solution for x. Leave your answer in 3 significant figures.



(a)  

10.

Find  f1(x) f^{-1}\left(x\right)\   of  f(x) = x3x+2f\left(x\right)\ =\ \frac{x-3}{x+2}  

a)

 32xx1\frac{-3-2x}{x-1}  

b)

 3+2xx1\frac{3+2x}{x-1}  

c)

 2x31x\frac{2x-3}{1-x}  

d)

 2x+3x+1\frac{2x+3}{x+1}