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Question
6/22
the following is not a function because...
there are two values that equal 2.
$x = 10$ and $x = 40$ has two values each.
in the $f(x)$ column, the 5 repeats.
this table is actually a function.
A function is defined such that each input (x-value) has exactly one output (f(x)-value). Looking at the mapping: x=10 maps to both 5 and 2, and x=40 maps to both 5 and 4. This violates the function definition, as these x-values have two outputs each. The other options are incorrect: repeated f(x) values do not disqualify a function, there is only one x-value mapping to 2, and the relation is NOT a function.
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x = 10 and x = 40 has two values each.