CP Pre-Calculus I
Quiz 3.4-3.8
A.
Review
Section 3.4: Symmetries of Graphs
Use the following functions for these questions
g ( x)  3x  2
f ( x)  x 2  4
1.
Label each of the functions as even, odd, or neither.
2.
Prove that the even function is even.
B.
3.
h( x)  x3  2 x
Prove that the odd function is odd.
Section 3.5: The Graph Scale Change Theorem
 x
2
1.
Write the transformation that maps function f(x) to 3 y  f  
2.
Perform transformation T on function f(x) below:
6
6
4
4
2
2
-5
3.
T : ( x, y)   __, __ 
5

-5
5
-2
-2
-4
-4
-6
-6
x
3


Write the equation for g ( x)  7  x 2 under the transformation S : ( x, y )   , 2 y  . Simplify your
answer.
CP Pre-Calculus I
Quiz 3.4-3.8
C.
Review
Section 3.6: Scale Changes of Data
Write the measures of center if the original data is multiplied by the following numbers
a.
1.
Mean = 35
b.
3
IQR = 8
c.
2.
St. Dev. = 4
-1
d.
3. -5
Mean =
Mean =
Mean =
IQR =
IQR =
IQR =
St. Dev =
St. Dev =
St. Dev =
Var =
Var =
Var =
D.
Variance = 16
Section 3.7: Composition of Functions
Use functions f ( x) 
1
and g ( x)  3 x  2 to find each of the following
x 3
b. g f (2)
a.
f ( g (2))
c.
g ( g (5))
d.
g f (4)
e.
f g  x
f.
g f  x
h.
The domain for g f  x 
g.
The domain for f
E.
g  x
Section 3.8: Inverse Functions
Find the inverse of each of the following functions. Tell whether the inverse is a function. If it is not a function,
explain why not.
1.
3.
f ( x) 
1
x 3
h( x)  1, 2  , 3, 4  , 5, 2  ,  6,7 
2.
g ( x)  3x  2
4.
k ( x)  x 3  4