Question

Consider the function L = 4h where L equals the number of legs on h horses. What would be the domain and range of the function?

Answer 1

The domain of this function is the set of values you may choose for h , the independent variable.

A number of horses must be a nonnegative integer

The domain is the set of nonnegative integers:

0, 1, 2, 3, 4, 5, 6...


The range of this function is the set of values you will obtain for the dependent variable, L

Since 1 horse has 4 legs, 2 horses have 8 legs, 3 horses have 12 legsand so on, the range of this function is the set of multiples of 4:

0, 4, 8, 12, 16, 20...