Square root function, reciprocal function
Square root function
Function f: R\R-→ R\R- , f(x)=√x is called a square root function. To each nonnegative real number we assign its square root.
D: R\R-
R: R\R-
Zero: x=0
Extreme: minimum, x=0, y=0
Monotonicity: monotonously increasing
Parity: not odd, not even
Periodicity: -
Reciprocal function (of the first degree)
Function f: R\0→ R\0 , f(x)=1/x is called a reciprocal function. To each real number we assign its reciprocal, the only exception is 0.
The graph of the function is a hyperbola.
D: R\0
R: R\0
Zero: -
Extreme: -
Monotonicity: monotonously decreasing
Parity: odd (symmetrical to the origin)
Periodicity: -
2012.03.30.