Week 2 Spiral
9/3/14, 8:28 AM
1
1.
Which set of ordered pairs does not represent a function?
A.
B.
C.
D.
{(3,-2), (-2,3), (4,-1), (-1,4)}
{(3,-2), (3,-4), (4,-1), (4,-3)}
{(3,-2), (4,-3), (5,-4), (6,-5)}
{(3,-2), (5,-2), (4,-2), (-1,-2)}
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2.
If f(x) =
, what is the value of f(4)?
A. 1
B. 2
C. 2
D. 4
-------------3.
If point (a, b) lies on the graph y = f(x), the graph y = f -1(x) must contain point
A.
B.
C.
D.
(b, a)
(a, 0)
(0, b)
(-a, -b)
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Week 2 Spiral
9/3/14, 8:28 AM
2
4.
If
, then f(a + 1) is equal to
A.
B.
C. 5
D. 4
-------------5.
If f(x) = -2x + 7 and g(x) = x2 - 2, then f(g(3)) is equal to
A.
B.
C.
D.
-7
-3
-1
7
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6.
Which function is one-to-one?
A.
B.
C.
D.
k(x) = x2 + 2
g(x) = x3 + 2
f(x) = |x| + 2
j(x) = x4 + 2
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Week 2 Spiral
9/3/14, 8:28 AM
3
7.
The accompanying graph is a sketch of the function y = f(x) over the interval 0 ≤ x ≤ 7.
What is the value of (f ° f)(6)?
A.
B.
C.
D.
1
2
0
-2
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8.
If f(x) =
A.
B.
C.
D.
, the domain of f(x) is
x=2
x<2
x≥2
x >2
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Week 2 Spiral
9/3/14, 8:28 AM
4
9.
Using the graph below, determine the domain.
A.
B.
C.
D.
All Real Numbers
(0, 3]
[–4, 5]
(–4, 5]
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Week 2 Spiral
9/3/14, 8:28 AM
5
10.
Which graph has an inverse that is a function?
A.
C.
B.
D.
-------------11.
Which function is not one-to-one?
A.
B.
C.
D.
{(0,1), (1,2), (2,3), (3,4)}
{(0,0), (1,1), (2,2), (3,3)}
{(0,1), (1,0), (2,3), (3,2)}
{(0,1), (1,0), (2,0), (3,2)}
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Week 2 Spiral
9/3/14, 8:28 AM
6
12.
Which graph represents a one-to-one function?
A.
C.
B.
D.
-------------13.
If h(x) = 2x − 1 and g(x) = 3x + 1, what is (h ° g)(2)?
A.
B.
C.
D.
7
10
13
21
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Week 2 Spiral
9/3/14, 8:28 AM
7
14.
Which equation is the inverse of y = 3x?
A.
x=3
B.
y=
C.
y=3
D.
x=
x
y
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15.
What is the inverse relation of the function whose equation is y = 3x − 2?
A. y = x
B. y = 3x + 2
C. y = 2x − 3
D.
-------------16.
What is the inverse of the function
?
A.
B.
C.
D.
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Week 2 Spiral
9/3/14, 8:28 AM
8
17.
Which equation does not represent a function?
A. x = π
B. y = 4
C. y =
D. y = x2 + 5x
-------------18.
If f(x) = 11x + 3 and g(x) =
, then g(f(2)) =
.
--------------
19.
If ƒ(x) = 3x2 – 2x + 1, find f(–2).
Answer: ƒ(–2) =
-------------20.
If f(x) = 3x2 + 1 and g(x) = 2x + 2, then (f ° g−1)(2) =
.
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