The function y = 7x + 35 represents the monthly cost y (in dollars) of a group of x members joining the fitness club.

B . Your group has enough money for up to six members to joim fitness club find domain and range of function

The domain of the function is [1,6] and the range of the function is [42,77] and this can be determined by using the given data.

Given :

The function y = 7x + 35 represents the monthly cost y (in dollars) of a group of  x members joining the fitness club.

Given that the group has enough money for up to six members to join the fitness club. So, the domain is [1,6] and to determine the range following calculation can be used:

Put (x = 1) in the given equation (y = 7x + 35).

y = 7(1) + 35

y = 42

Now, substitute x = 6 in the given equation (y = 7x + 35).

y = 7(6) + 35

y = 42 + 35

y = 77

So, the range of the function is [42,77].

For more information, refer to the link given below:

link

Domain = {1,2,3,4,5,6} and Range = {42,49,56,63,70,77}

Step-by-step explanation:

The given function is :

y = 7x + 35

Where

x is no of members

y is the monthly cost

Your group has enough money for up to six members to joim fitness club. It means domain (the set of input values) are:

Domain = {1,2,3,4,5,6}

Put x = 1 to 6 one by one,

y = 7(1) + 35 = 42

y = 7(2) + 35 = 49

y = 7(3) + 35 = 56

y = 7(4) + 35 = 63

y= 7(5) + 35 = 70

y =  7(6) + 35 = 77

Range = {42,49,56,63,70,77}