Which of the following tables represents a function?Table 1 Table 2 Table 3x (input) y (output)2 23 24 2 x (input) y (output)14 214 314 4 x (input) y (output)0 0-3 -3-16 -16 Group of answer choicesNone of the Tables represent functions.Table 1 and Table 2 both represent functions but Table 3 does not represent a function.Only Table 2 represents a function.Only Table 3 represents a function.Table 1 and Table 3 both represent functions but Table 2 does not represent a function.
Question
Which of the following tables represents a function?Table 1 Table 2 Table 3x (input) y (output)2 23 24 2 x (input) y (output)14 214 314 4 x (input) y (output)0 0-3 -3-16 -16 Group of answer choicesNone of the Tables represent functions.Table 1 and Table 2 both represent functions but Table 3 does not represent a function.Only Table 2 represents a function.Only Table 3 represents a function.Table 1 and Table 3 both represent functions but Table 2 does not represent a function.
Solution
Only Table 3 represents a function.
Here's why:
A function is a relation where every input (x-value) is related to exactly one output (y-value).
In Table 1, the input 2 is related to two different outputs (3 and 4), so it's not a function.
In Table 2, the input 14 is related to three different outputs (2, 3, and 4), so it's not a function.
In Table 3, each input is related to exactly one output, so it is a function.
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