Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0. We can also define special functions whose

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The two cases are just theoretical and will yield to some kind of degenerated rectangles, such that the surface of the domain is equal to zero. You could also chose (for the one case) y = ϵ for some very small ϵ. The smaller you chose ϵ

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State the domains of the following functions using inequalities. 1. f (x) = x 2 2. g (x) = √x 1. x 2 is a polynomial that is defined for all x values, so its domain is -∞ < x < ∞. 2. √x is an even root, so

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To find the domain, we need to analyse what the graph looks like horizontally. Moving from left to right along the \ (x\)-axis, identify the span of values for which the function is defined. Similarly