Function
Q11.
Consider the function y=|x| in the interval [-1, 1]. In this interval, the function isQ12.
Let A and B be sets with cardinalities m and n respectively. The number of one-one mappings from A to B, when m \lt n, isQ14.
How many onto (or surjective) functions are there from an n-element ( n \geq 2 ) set to a 2-element set?Q16.
Let f be a function from a set A to a set B, g a function from B to C, and h a function from A to C, such that h(a) = g(f(a)) for all a \in A. Which of the following statements is always true for all such functions f and g?Q17.
Let S denote the set of all functions f:{\{0,1\}}^{4} \rightarrow \{0,1\}. Denote by N the number of functions from S to the set {0,1}. The value of log_{2} log_{2}N is______.Q18.
Let R denote the set of real numbers. Let f:R\times R \rightarrow R \times R be a bijective function defined by f(x,y) = (x+y, x-y). The inverse function of f is given by