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What is real value function?
a function whose range is in the real number
What is a real world example of a radical function?
The diagonal of a unit square, for example, is radical(2).
The function is not an example of a rational function?
y = cuberoot(x) for real x is not a rational function.
Are bounded domain functions periodic?
No. You can always "cheat" to prove this by simply giving the function's domain a bound.Ex: f: [0,1] --> RI simply defined the function to have a bounded domain from 0 to 1 mapping to the codomain of the set of real numbers. The function itself can be almost anything, periodic or not.Another way to "cheat" is to simply recognize that all functions having a domain of R are bounded functions, by definition, in the complex plane, C.(Technically, you would say a non-compact Hermitian symmetric space has a bounded domain in a complex vector space.) Obviously, those functions include non-periodic functions as well.
A use of periodic functions in real life?
determing current flow in ammeters
