Name_______________________________Date____________________Per_____PreAPAlgII
Square/Cube Root Attributes Test Review
Find the Inverse of the following functions.
a. f(x)   x  2
Verify
c. f(x)  (x  2)3  3
Verify
b. f(x)  3 2(x  3)  1
d. f(x) 
1
( x  2)2
2
Verify
Verify
Graph the above functions.
a.
b.
.
c.
d.
Restrict
Domain
Name_______________________________Date____________________Per_____PreAPAlgII
Square/Cube Root Attributes Test Review
Write the following using Function Notation
a. Vertical stretch of 3, reflection about y, vertical shift up 3.
b. Horizontal stretch of 4, Horizontal shift left of 5, vertical shift down of 3.
c. Reflection about x, Horizontal shrink of ½, Horizontal shift right 6.
d. Vertical shrink of ¼, Horizontal shrink of 1/6, Vertical shift up 10.
1.
f(x)   (x  3)  7
D:
R:
2.
f(x) 
13
4(x)  7
2
D:
R:
3.
f(x)  
D:
1
x 6
2
R:
Initial Point:
Symmetry Point:
Initial Point:
X-int:
X-int:
X-int:
Y-int:
Y-int:
Y-int:
End Behavior:
End Behavior:
End Behavior:
Transformations:
Transformations:
Transformations:
Notation:
Notation:
Notation:
Apply the change to the above functions and state new domain and range:
1.Change:
D:
2f(x  3)
R:
2. Change:
D:
f(2(x 3))  4
R:
3.Change:
D:
1
f( (x  4))  1
2
R:
Name_______________________________Date____________________Per_____PreAPAlgII
Square/Cube Root Attributes Test Review
Apply the change –f(x-3)+1 and state
the new domain and range.
Apply the change –f(x-3)+1 and state
the new domain and range.
Apply the change –f(x-3)+1 and state
the new domain and range.
Apply the change –f(x-3)+1 and state
the new domain and range.
Write in Fractional Exponent and reduce if possible.
( 2x)5
(ab)8
3
(27x)2
4
cd
Write in Radical and reduce if possible
1
(6x) 5
7
(7 y) 2
m
(ab) n
9
(9) 4