Answer:
Practical Domain: 0 ≤ g ≤ 22
Practical Range: 0 ≤ C(g) ≤ 78.32
Explanation:
The domain is the input of the function, usually, x, but it is g in this problem.
The input here is the number of gallons you can get. The tank holds a maximum of 22 gallons, so if the tank is already full, you will get 0 gallons. If the tank is completely empty, you can get up to 22 gallons. The domain is the values of the input of the function. Since the input is from 0 gallons to 22 gallons, we get this for the domain:
Practical Domain: 0 ≤ g ≤ 22
The range is the output of the function. Usually it is f(x), but in this problem it is C(g). When you input the number of gallons into the function, the output is the cost of that number of gallons. The domain is from 0 to 22 gallons. Now we use the function to find the cost of 0 gallons and the cost of 22 gallons.
Here is the function:
C(g) = 3.56g
What is the cost of 0 gallons? In this case, g = 0.
C(0) = 3.56(0) = 3.56 × 0 = 0
0 gallons cot 0 dollars, which makes sense.
What is the cost of 22 gallons, the greatest amount of fuel you can fit in the tank?
C(g) = 3.56g
Here, g = 22.
C(22) = 3.56(22) = 3.56 × 22 = 78.32
22 gallons cost 78.32 dollars.
The range of the function is from 0 dollars to 78.32 dollars.
Practical Range: 0 ≤ C(g) ≤ 78.32