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## Main Question or Discussion Point

I was wondering if it would be possible to find the average value of a function with the only condition that x is element of R. For example, could we say that f(x)=4 has an average value of 4 since no matter what values we give for a or b in the integral from a to b of f(x)/(b-a) (b is not equal to a of course), we will obtain an answer of 4? However, if this is true, could it be for other functions as well, perhaps more complicated or colourful? What conditions need to be satisfied?