It is impossible for the car to travel less than zero miles (or kilometers) and it can't travel more than 15 times the capacity of its gas tank.Įvery function has a set of possible inputs called the domain and a set of possible outputs called the range. The same goes for range, the function's output. The domain of the function does not cover all possibilities there are limits to what can be plugged into this function. In the function, this means that must be larger than zero, smaller than the volume of the car's gas tank, and represent only gasoline. We also can't fill it with anything other than gasoline or it will not drive.
It is impossible to fill the gas tank with less than zero gallons of gasoline and we can't fill the gas tank with more than it can hold.
There are some limits to this function, however. is the range, or output, of the function and represents the distance in miles (or kilometers) that the car can travel. In this function, is the domain, or input, of the function and represents the number of gallons of gasoline put into the car. The function of a car that can drive 15 miles on 1 gallon of gasoline would be. For example, the distance a car can drive is a function of how many gallons (or liters) of gasoline are put into it. These can be as simple as plugging into to get, but we also encounter many of these functional relationships in our everyday lives. Functions are mathematical representations of input-output relationships.
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