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. 

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