Domain: The domain for this function would be the possible values for the number of gallons of gasoline, x, that the car can have. Since the car's fuel tank holds 17 gallons, the domain would be x ≥ 0 and x ≤ 17.
Range: The range for this function would be the possible distances the car can travel in miles. Since the car can travel 27 miles for each gallon of gasoline, the range would be d(x) = 27x, where d(x) ≥ 0 and d(x) ≤ 27 * 17 = 459 miles.
Graph: To graph the function, we can plot points on a coordinate plane. The x-axis would represent the number of gallons of gasoline, and the y-axis would represent the distance in miles.
We can start by plotting the following points:
(0, 0)
(17, 27 * 17)
Drawing a straight line passing through these points, we obtain the graph of the function. The line would start at the origin (0,0) and increase at a steady rate (slope) of 27, since for each gallon of gasoline the car can travel 27 miles.
Here is an image of the graph: https://i.imgur.com/XzT8SJf.png
Find a reasonable domain and range for the function. Then graph the function.
A car can travel 27 mi for each gallon of gasoline. The function d(x)=27x represents the distance d(x), in miles, that the car can travel with x gallons of gasonline. The car's fuel tank holds 17 gal.
1 answer
1 answer