Relations and Functions

ERROR ANALYSIS: Describe and correct the error in determining whether the relation is a function.

• In order for a relation to be a function, each output must be paired with exactly one input. So, the relation is a function.

• In order for a relation to be a function, each input must be paired with more than one output. So, the relation is a function.

• In order for a relation to be a function, each input must be paired with exactly one output. So, the relation is a function.

Tags

CCSS.8.F.A.1

Complete the mapping diagram for the graph. Fill in the numbers for both the input and output and draw arrows to connect the ordered pairs.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Complete the diagram.

4 → ___

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Complete the diagram.

5 → ___

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Complete the diagram.

6 → ___

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Problem #6

List the ordered pairs shown in the mapping diagram.

• (4, 0)

  (3, 5)

  (6, 6)

  (7, 9)

• (0, 4)

  (3, 5)

  (6, 6)

  (9, 7)

• (4, 0)

  (5, 3)

  (6, 6)

  (7, 9)

• (0, 4)

  (3, 5)

  (6, 6)

  (7, 9)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Problem #9

Determine whether the relation is a function.

• yes

• no

Tags

CCSS.8.F.A.1

Complete the mapping diagram for the graph. Fill in the numbers for both the input and output and draw arrows to connect the ordered pairs.

Problem 16 b

SCUBA DIVING: The normal pressure at sea level is one atmosphere of pressure (1 ATM). As you dive below sea level, the pressure increases by 1 ATM for each 10 meters of depth.

b. Is the relation a function? Explain.

• Yes, each output has exactly one input. So, the relation is a function.

• No, each input has exactly one output. So, the relation is a function.

• Yes, each input has exactly one output. So, the relation is a function.

Tags

CCSS.8.F.A.1

Problem 16 c

SCUBA DIVING: The normal pressure at sea level is one atmosphere of pressure (1 ATM). As you dive below sea level, the pressure increases by 1 ATM for each 10 meters of depth.

c. Plot the ordered pairs in a coordinate plane.