Regents Exam Questions CC.F.IF.1: Defining Functions 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 table represents a function?
1)
2)
5 Which set of ordered pairs represents a
function?
1)
2)
3)
4)
3)
4)
2 Which relation is not a function?
1)
2)
3)
4)
3 Which relation represents a function?
1)
2)
3)
4)
6 Which relation is not a function?
1)
2)
3)
4)
7 Which relation is a function?
1)
2)
3)
4)
8 Which set is a function?
1)
2)
3)
4)
4 Which relation is a function?
1)
2)
3)
4)
9 Which set of ordered pairs is not a function?
1)
2)
3)
4)
Regents Exam Questions CC.F.IF.1: Defining Functions 1
Page 2
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Name: __________________________________
10 Which set of ordered pairs does not represent a
function?
1)
2)
3)
4)
11 Given the relation
.
Which replacement for a makes this relation a
function?
1) 1
2)
3) 0
4) 4
12 Given the relation
,
which value of k will result in the relation not
being a function?
1) 1
2) 2
3) 3
4) 4
13 The relation defined by the set of ordered pairs
is not a
function. Which of the ordered pairs listed
below, if omitted from this relation, will make
the resulting set a function?
1)
2)
3)
4)
14 A function is shown in the table below.
If included in the table, which ordered pair,
or
, would result in a relation that is
no longer a function? Explain your answer.
15 The function f has a domain of
and a
range of
. Could f be represented by
? Justify your answer.
Regents Exam Questions CC.F.IF.1: Defining Functions 1
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1 ANS: 3
REF: 061504ai
2 ANS: 3
An element of the domain, 1, is paired with two different elements of the range, 3 and 7.
REF: 080919ia
3 ANS: 4
In (4), each element in the domain corresponds to a unique element in the range.
REF: 011018ia
4 ANS: 4
In (4), each element in the domain corresponds to a unique element in the range.
REF: 011105ia
5 ANS: 2
In (2), each element in the domain corresponds to a unique element in the range.
REF: 061116ia
6 ANS: 4
An element of the domain, 1, is paired with two different elements of the range, 1 and
7
8
9
10
11
12
13
14
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
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1
2
1
2
4
3
4
REF:
REF:
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REF:
.
061413ia
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080403b
060715b
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, because then every element of the domain is not assigned one unique element in the range.
REF: 011527ai
15 ANS:
Yes, because every element of the domain is assigned one unique element in the range.
REF: 061430ai