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threetheoreom
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Homework Statement
I going thorough some of my old notes and I saw this question for a proof.
If f is linear function but not a direct variation and not the constant function 0, then for every pair of real numbers a and c
f(a + c) not equal to f(a)+f(c).
Homework Equations
y = mx ( a linear function ) m = y/x
The Attempt at a Solution
I can't seem to get the logic together, a linear function that is actually a direct variation produces contant distances on a number line, so i would think a function that isn't a direct variation would be map irregular dstances.
I would like some direction as to how connect this the fact that additive distribution doesn't hold for such functions.
thanks
edit: I meant this for the precal section.
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