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MTH133
Unit 4– Individual Project – A
1. Use the graph of ( ) to match the function to its corresponding graph. In words describe the
transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
( )
Choose from the following functions:
( ) ( )
( ) ( ) ( ) ( ) ( )
a)
Answer:
Function:
Description of transformation:
b)
Answer:
Function:
Description of transformation:
–
4
–
3
–
2
–
1
0
1
2
3
4
5
-3 -2 -1 0 1 2 3
-4
-3
-2
-1
0
1
2
3
4
5
-5 -4 -3 -2 -1 0 1 2 3
-4
-3
-2
-1
0
1
2
3
4
5
-3 -2 -1 0 1 2 3
Name:
c)
Answer:
Function:
Description of transformation:
d)
Answer:
Function:
Description of transformation:
2. Find the domain of the function and express the answer in interval notation. Explain in words or show the
calculations.
a) ( )
Answer:
Show Work or Explain in Words:
b) ( )
Answer:
-2
-1
0
1
2
3
4
5
6
7
-3 -2 -1 0 1 2 3
-3
-2
-1
0
1
2
3
4
5
-3 -2 -1 0 1 2 3 4 5
Show Work or Explain in Words:
c) ( ) √
Answer:
Show Work or Explain in Words:
d) ( )
Answer:
Show Work or Explain in Words:
e) ( )
Answer:
Show Work or Explain in Words:
3. Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the
answer must be given as an equation of a line.
a) Find the vertical asymptote of the function ( )
Answer:
Show Work or Explain in Words:
b) Find the horizontal asymptote of the function ( )
Answer:
Show Work or Explain in Words:
c) Find the vertical and horizontal asymptotes of the function ( )
Answer:
Vertical:
Horizontal:
Show Work or Explain in Words:
d) Find the vertical and horizontal asymptotes of the function ( )
Answer:
Vertical:
Horizontal:
Show Work or Explain in Words:
