What is the domain and range of each function?
1. x- 3,5,7,8,11 y- 6,7,7,9,14

2. x- -3, -1, 2, 5, 7 y- 9, 5, 4, -5, -7

1. Domain: (3, 5, 7, 8, 11)  

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)  

Range: (-7, -5, -4, 5, 9)

Step-by-step explanation:

The domain is the set of all x values in the function. The range is the set of all y values in the function. It is written in parenthesis from least to greatest. Do not repeat values even if the function has them more than once.

1. Domain: (3, 5, 7, 8, 11)  

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)  

Range: (-7, -5, -4, 5, 9)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).