In March 2014, a gas company had the rate schedule shown to the right for natural gas usage in single-family Monthly service charge $22.6 residences. Delivery charge (a) What is the charge for using 40 therms in a month? First 50 therms $0.93358/therm (b) What is the charge for using 250 therms in a month? Over 50 therms (c) Develop a function that models the monthly charge C for x therms of gas. Natural gas cost (d) Graph the function found in part (c). First 50 therms $0.3193/therm Over 50 therms $0.5912/therm (a) The charge for using 40 therms in a month is $. (Simplify your answer. Round to the nearest cent.) (b) The charge for using 250 therms in a month is $. (Simplify your answer. Round to the nearest cent.) if OSXs (c) C(x) = if x > (Simplify your answers.) (d) Choose the correct graph below. O A. O B. O C. O D. A 300- 300- 300 300- Charge (dollars) 50- Charge (dollars) Charge (dollars) 50- Charge (dollars) 150-HH 200 400 0 200 400 0 200 400 200 4 Usage (therms) Usage (therms) Usage (therms) Usage (therms)K The function f is defined as follows. x+4 if - 35x 1 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (a) The domain of the function f is. (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no intercepts. (c) Choose the correct graph below. A. O B. O c. OD. (d) The range of the function f is. (Type your answer in interval notation.)