Page 1
1.
Which of the following is the graph of a power function?
A)
B)
C)
2.
What description best fits the power function,
p
y kx=
, pictured?
A)
k is negative and p is odd
B)
k is positive and p is odd
C)
k is negative and p is even
D)
k is positive and p is even
Page 2
3.
Which of the following is the graph of a power function,
p
y kx=
, where k is positive
and p is odd?
A)
B)
C)
D)
4.
Find the description that best fits a power function,
p
y kx=
, where
,as x y→ − →
and
,–as x y→ →
.
A)
k is negative and p is even
B)
k is negative and p is odd
C)
k is positive and p is even
D)
k is positive and p is odd
Page 3
5.
Find the description that best fits a power function,
p
y kx=
, where k is positive and p is
odd.
A)
,as x y→ − →
and
,as x y→ →
B)
,–as x y→ − →
and
,as x y→ →
C)
,–as x y→ − →
and
,–as x y→ →
D)
,as x y→ − →
and
,–as x y→ →
6.
Which graph is the graph of a power function,
p
y kx=
, that has an odd p?
A)
A
B)
B
C)
neither
D)
both
7.
Which of the following describes the function,
9
( ) –3f x x=
?
A)
( ) ( )f x f x−=
B)
( ) – ( )f x f x−=
C)
both A and B
D)
neither A or B
Page 4
8.
Both graphs below are power functions of the form
2
y kx=
. Which graph has a larger
k?
A)
A
B)
B
9.
Both graphs below are power functions of the form
3
y kx=
. Which graph has a larger
k?
A)
A
B)
B
A
B
A
B
Page 5
10.
Graph A is the graph of
2
3yx=
, and graph B is the graph of
2
y kx=
. What is the
value of k?
11.
Graph A is the graph of
3
2yx=
, and graph B is the graph of
3
y kx=
. What is the
value of k?
12.
Are f(x) = 3x9 and g(x) = –3x9 reflections of each other across the horizontal axis?
13.
Sketch a graph of the power function y = 3x3.
A
B
A
B
Page 6
14.
Sketch a graph of the power function y = 4x8.
15.
True or False. The graph of a function of the form f(x) = –5xp, is symmetrical about
the horizontal axis when p is even.
A)
True
B)
False
Page 7
Answer Key