Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain
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I suppose you mean
Then
and the difference quotient is
If it's the case that <em>x</em> ≠ 3, then (<em>x</em> - 3)/(<em>x</em> - 3) reduces to 1, and you would be left with
This is not a function. There are multiple outputs for the same input at . A function only has 1 output for every input.