Determine whether each relation is a function. If so, provide the domain and range. a. Width versus area.

Width (m) | Area (m2)

1 6

5 50

10 150

11 176

14 266

Function?

If so,

Domain =

Range =

b. Hours worked versus salary.

Hours Worked | Salary

0 0

10 $300

20 $600

30 $900

40 $1200

Function?

If so,

Domain =

Range =

c. Height versus age.

Height (cm) | Age (years)

160 20

160 25

160 30

160 35

160 40

160 45

160 50

Function?

If so,

Domain =

Range =

a. Function: Yes

Domain = 1, 5, 10, 11, 14

Range = 6, 50, 150, 176, 266

b. Function: Yes

Domain = All positive integers

Range = All positive integers

c. Function: The relation is not a function

Step-by-step explanation:

A function is a relation where each input value has only one output value

a. The given data are presented as follows

For each value of the input variable, the width, there is exactly one out put variable, therefore, the relation is a function

Function; Yes

The domain, the input values, includes; 1, 5, 10, 11, 14

The range, the output, values, includes; 6, 50, 150, 176, 266

b. Hours worked versus salary

For each value of the input variable, hours worked, there is exactly one out put variable, therefore, the relation is a function with the following equation;

Salary = $30 × Hours worked

Function; Yes

The domain, the input values, includes; All positive integers

The range, the output, values, includes; All positive integers

c. Height versus age

For each value of the input variable, the height, there are more than one  out put variable, the age, therefore, the relation is not a function

Function; No

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