Openstax Calculus Volume I| Functions and Graphs| Review of Functions | Problem 1

For the following exercises, (a) determine the domain and the range of each relation, and (b) state whether the relation is a function.


x	-3	-2	-1	0	1	2	3
y	9	4	1	0	1	4	9

SOLUTION:

The domain is $\left\{-3,\:-2,\:-1,\:0,\:1,\:2,\:3\right\}$ .

The range is $\left\{0,\:1,\:4,\:9\right\}$ .

Since there is exactly one output for every input, then it is a function.