SOLUTION: QUESTION: Given the following inputs and corresponding outputs, is the relation a function? Justify your reasoning. Inputs: {1, 1, 2, 3} <P> Outputs: {3, -3, 4, 4}

Algebra ->  Functions -> SOLUTION: QUESTION: Given the following inputs and corresponding outputs, is the relation a function? Justify your reasoning. Inputs: {1, 1, 2, 3} <P> Outputs: {3, -3, 4, 4}      Log On


   

Question 428031: QUESTION: Given the following inputs and corresponding outputs, is the relation a function? Justify your reasoning.
Inputs: {1, 1, 2, 3}


Outputs: {3, -3, 4, 4}
Answer by Theo(13342) About Me  (Show Source):

You can put this solution on YOUR website!
it's a relation.

in order for it to be a function there can only be 1 output for each and every input.

only one instance of multiple outputs for an input makes it a relation.

your dataset provides the following mapping: 
      input  output
        1       3
        1      -3
        2       4
        3       4


the 2 mapping to 4 and the 3 mapping to 4 are ok for a function because there is only one output for each of the inputs.

the 1 mapping to 3 and -3 is what causes this to be a relation rather than a function because you have more than 1 output for the same input.