Compare the initial value and the range for each of the linear functions of f(x) and g(x) the domain of each function is the set of all real numbers x such that 8≤ x≤ 12. the table shows some ordered pairs for f(x). The function g(x) is defined by the rule g(x)=7x-3.

8-34

9-38

10-42

11-46

12-50

Solution

First identify the input values. The input value is the first coordinate in an ordered pair. There are no restrictions, as the ordered pairs are simply listed. The domain is the set of the first coordinates of the ordered pairs.

D={2,3,4,5,6}

Next identify the output values. The output value is the second coordinate in an ordered pair. The range is the set of the second coordinates of the ordered pairs. Do not list the same output twice.