Relations and Functions

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.8.F.A.1

CCSS.HSF.IF.A.1

List the ordered pairs

• Input and Output

• (0,12), (2,10), (4,8), (6,6)

• (12,0), (10,2), (8,4), (6,6)

• (6,6)

Tags

CCSS.8.F.A.1

CCSS.8.F.B.4

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.8.F.A.1

A relation pairs each input with exactly one output is a

• congruence

• similarity

• function

• mathematical equation

Tags

CCSS.8.F.A.1

Determine if the relations is a function and describe the pattern

• Yes it is a function, input goes up 1 and output goes up by 15

• Yes it is a function, input goes up 15 and output goes up by 1

• Not a function, input goes up 1 and output goes up by 15

• Not a function, input goes up by 15 and output goes up by 1

Tags

CCSS.8.F.A.1

CCSS.8.F.B.4

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.8.F.A.1

Determine if the relation is a function

• Yes, each input has one output

• Yes, each output has one input

• No, because the pattern is 4

• No, each input is the same as the output

Tags

CCSS.8.F.A.1

Describe the pattern input and output

• The input and output both go down by 3

• The x goes up 1 and the y goes right 1

• The x goes right 2 and the y goes up 2

• There is no pattern

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.2

Describe the pattern of inputs and outputs

• The x and y move by 1

• The x moves right by 2 and the y stays the same

• The x does not move and the y does not move

• The x moves down by 1 and y moves up

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

Is the relation a function?

• Yes, each input has one output

• No, each input has more than one output

• No, the cost of the movies is different

• Yes, each output has one input

Tags

CCSS.8.F.A.1

CCSS.8.F.A.3