Question 253282: The relation in the table is a function. Which ordered pair can be included with this relation to form a new relation that is also a function?
Input: -5,0,5,10
Output: 12,15,18,21
(A) (5,7)
(B) (0,2)
(C) (-5,5)
(D) (2,16)
I put the input/output numbers EXACTLY as I saw them in the graph. I apologize if I made any violation, because the problem included a graph, but I did not see "Algebra: Functions,Domain, WITH graphing". The letters (A)-(D) were answer choices. Please answer this problem promptly, and I once again apologize, this time for troubling you with my own procrastination concerning my math homework.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Remember a function is simply a relation in which each input maps to ONLY ONE output. If we include parts A, B, or C, then we'll introduce the same inputs, but they will have different outputs. For example, A) has the input of 5 and the output of 7. But we already have the input of 5 mapping to an output of 18. Similar statements can be said about choices B and C. So choices A - C will not make a function.
So the only answer is D)
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