Relations and Functions

A relation pairs each input with exactly one output is a

• congruence

• similarity

• function

• mathematical equation

Tags

CCSS.HSF.IF.A.1

Which of the relations below is a function?

• {(2, 3), (3, 4), (5, 1), (2, 4)}

• {(2, 3), (3, 4), (6, 2), (7, 3)}

• {(2, 3), ( 3, 4), (6, 2), (3, 3)}

Tags

CCSS.HSF.IF.A.1

The following relation is a function.

{(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)}

• True

• False

Tags

CCSS.HSF.IF.A.1

Which of the relations below is a function?

• {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}

• {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}

• {(0, 2), (0, 3), (0, 4), (0, 5), (0, 6)}

Tags

CCSS.HSF.IF.A.1

The graph of a relation is shown at the right. Is this relation a function?

• Yes

• No

• Cannot be determined from a graph

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Looking at the table, what is the domain of the function?

• Domain: {-7,-4,-1,2,5}

• Domain: {-2,-1,0,1,2}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Looking at the table, what is the range of the function?

• Range: {7,9,11,13,15}

• Range: {2,4,6,8,10}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

List the ordered pairs

• (1,3), (2,6), (3,9), (4,12)

• (3,1), (6,2), (9,3), (12,4)

• Input and Output

• Output and Input

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.2

List the ordered pairs

• Input and Output

• (-1, 1), (-2, 1), (-3,2), (-4,2)

• (1,1) (2,4)

• (1,-1), (1,-2), (2,-3), (2,-4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

Determine if the relation is a function

• Not a function, each input has more than one output

• Yes it is a function, because each input has exactly on output

• Not a function, input is equal to output

• Yes it is a function, -1/2 is a fraction of 2

Tags

CCSS.HSF.IF.A.1