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f' = 2x

f'> 0 in (0, ∞)..... f = y increases on this interval

f' < 0 in (-∞,0) f = y decreases on this interval

I don't understand.... it is saying that f decrease on (-∞,0) but obviously its not because (∞)^2 = ∞ which is increasing...

Does this mean that the function is decreasing as as x approaches zero from the left?? If it did that would make more sense to me..