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.

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.

Complete the diagram.

4 → ___

Complete the diagram.

5 → ___

Complete the diagram.

6 → ___

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)

Problem #9

Determine whether the relation is a function.

• yes

• no

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.

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.