Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 1
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Name: __________________________________
CC.F.IF.1: Defining Functions: Understand that a function from one set (called the
domain) to another set (called the range) assigns to each element of the domain
exactly one element of the range. If f is a function and x is an element of its
domain, then f(x) denotes the output of f corresponding to the input x. The graph of
f is the graph of the equation y = f(x).
1 Which graph does not represent a function?
1)
2)
3)
4)
2 Which graph does not represent a function?
1)
2)
3)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 2
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Name: __________________________________
3 Which graph represents a relation that is not a
function?
1)
2)
3)
2)
4)
3)
5 Which statement is true about the graphs of f
and g shown below?
4)
4 Which graph represents a function?
1)
1)
2)
3)
4)
f is a relation and g is a function.
f is a function and g is a relation.
Both f and g are functions.
Neither f nor g is a function.
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 3
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Name: __________________________________
6 Which graph represents a function?
1)
2)
7 Which graph represents a function?
1)
2)
3)
3)
4)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 4
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Name: __________________________________
8 Which statement is true about the relation
shown on the graph below?
9 Which graph represents a function?
1)
2)
1) It is a function because there exists one xcoordinate for each y-coordinate.
2) It is a function because there exists one ycoordinate for each x-coordinate.
3) It is not a function because there are
multiple y-values for a given x-value.
4) It is not a function because there are
multiple x-values for a given y-value.
3)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 5
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Name: __________________________________
10 Which graph does not represent a function?
1)
11 Which graph represents a function?
1)
2)
2)
3)
3)
4)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 6
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Name: __________________________________
12 Which graph represents a function?
1)
2)
13 Which graph does not represent the graph of a
function?
1)
2)
3)
3)
4)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 7
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Name: __________________________________
14 Which diagram represents a relation in which
each member of the domain corresponds to
only one member of its range?
1)
15 Which graph does not represent a function of
x?
1)
2)
2)
3)
3)
4)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 8
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Name: __________________________________
16 Which graph is not a function?
1)
2)
3)
4)
3)
18 Which graph does not represent a function?
1)
4)
2)
3)
17 Each graph below represents a possible
relationship between temperature and pressure.
Which graph does not represent a function?
1)
2)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 2
Page 9
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Name: __________________________________
19 Which graph represents a function?
1)
Which relation is not a function?
1) A
2) B
3) C
4) D
2)
21 Which representations are functions?
3)
4)
1)
2)
3)
4)
20 The accompanying graph shows the curves of
best fit for data points comparing temperature
to altitude in four different regions, represented
by the relations A, B, C, and D.
I and II
II and IV
III, only
IV, only
22 On the accompanying diagram, draw a
mapping of a relation from set A to set B that is
not a function. Explain why the relationship
you drew is not a function.
Regents Exam Questions CC.F.IF.1: Defining Functions 2
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REF:
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fall0908a2
011101a2
061114a2
061409a2
011507a2
fall0730ia
010930ia
060919ia
061013ia
011204ia
061209ia
011309ia
081308ia
060310b
080301b
010511b
060601b
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060320siii
060902b
081511ai
The relationship is not a function because an element in Set A
maps to two different elements in Set B.
REF: 010622b