The total cost C of a firm per day is a function of its daily output Q : C = 150 + 7Q.

The firm has a total capacity limit of 100 units of output per day.

(a) (3 points) Express the domain of this function as a set.

(b) (3 points) Express the range of this function as a set.

(c) (3 points) Express the graph of this function as a set.

(d) (3 points) Check whether C is a surjective function.

(e) (3 points) Check whether C is a injective function.

(f) (3 points) Is C invertible. If yes, then find its inverse function.