Question

Create and describe a function related to your field (or intended field). Give a detailed explanation of the domain (input) and range (output). Then, respond to the following.
What values make up the domain? What values make up the range?
Does it make sense for the function to have a root? What would the root describe?
What would the x- and y-intercepts represent for your function?
Does it make sense for your function to have an inverse? Explain.
Describe a situation where your function becomes an equation that can be solved. Solve.

Answer 1

An example of a domain that can be illustrated from the information given will be D(x) = 32.

Domain and range

An example based on the information given is "A gas tank in John's car can hold 20 gallons of gas and the car gets 32 miles for every gallon".

John fills up the tank and then goes on a trip. In this case, the distance that will be travelled on one tank will be:

D(x) = 32x

In the above function, it should be noted that the number of gallons can be from 0 to 20. Since he gets 32 miles per gallon, the car can travel 640 miles.

In this case, the domain is the number of gallons that can be used. The number of miles will be the range.

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