Find a reasonable domain and range for the function. Then graph the function. A car can travel 31 mi for each gallon of gasoline. The function d(x) = 31x represents the distance d(x) in miles, that the car can travel with x gallons of gasonline. The car's fuel tank holds 12 gal. Choose the correct domain below. OA. 0 <= x <= 372 OB. 12 <= x <= 31 OC. 0 <= x <= 12 OD. 0 <= x <= 31

1 answer

The correct domain for the function is 0 <= x <= 12

Explanation:
The domain of a function represents the set of all possible input values (x-values) for the function. In this case, the function represents the distance the car can travel with x gallons of gasoline. The car's fuel tank holds 12 gallons, so the maximum number of gallons of gasoline that can be input into the function is 12. Therefore, the domain of the function is 0 <= x <= 12.

The range of the function represents the set of all possible output values (y-values) for the function. In this case, the function d(x) = 31x represents the distance in miles that the car can travel. The car can travel 31 miles for each gallon of gasoline, so the range of the function is 0 <= d(x) <= 31 * 12.

To graph the function, you can plot the points (x, d(x)) with x-values between 0 and 12 and calculate the corresponding d(x) values using the function.