The cost to fill a motor home's propane tank is determined by the function $C(g)=3.68 g$ where $C$ is the output (cost in \$) and $g$ is the input (gallons of gas). The propane tank can hold a maximum of 12 gallons Round your answers to 2 decimal places Identify the practical domain of this function by filling in the blanks below. Minimum Gallons Purchased $\leq g \leq$ Maximum Gallons Purchased Practical Domain: $\leq g \leq$ Identify the practical range of this function by filling in the blanks below. Minimum Cost $\leq C(g) \leq$ Maximum Cost Practical Range: $\leq C(g) \leq$

Step 1 ：The cost to fill a motor home's propane tank is determined by the function \(C(g)=3.68 g\) where \(C\) is the output (cost in $) and \(g\) is the input (gallons of gas). The propane tank can hold a maximum of 12 gallons.

Step 2 ：The practical domain of this function is the possible values of \(g\) (gallons of gas) that can be purchased. Since the propane tank can hold a maximum of 12 gallons, the minimum gallons purchased would be 0 (if no gas is purchased) and the maximum gallons purchased would be 12.

Step 3 ：The practical range of this function is the possible values of \(C(g)\) (cost in $) that can be incurred. The minimum cost would be when no gas is purchased, i.e., \(C(0) = 3.68 * 0 = 0\). The maximum cost would be when the tank is filled to its maximum capacity, i.e., \(C(12) = 3.68 * 12\).

Step 4 ：Calculating the maximum cost, we get \(C(12) = 3.68 * 12 = 44.16\).

Step 5 ：\(\boxed{\text{The practical domain of this function is } 0 \leq g \leq 12 \text{ and the practical range of this function is } 0 \leq C(g) \leq 44.16}\)