If `f:NrarrZ f(n)={(n-1)/2;` when n is odd `=-n/2;` when n is even Identify the type of function

Let f be function f:N to N be defined by f(x)=3x+2, xin N . Identify the types of function.

Let A={1, 2, 3, 4} and B=N . Let f:A to B to defined by f(x)=x^(3) then, identify the type of function

Evaluate (n!)/((n-r)!) , when n = 6, r = 2

Let f be a function of f: N to N be defined by f(x)=3x+2 , x in N . Find the image of 1, 2, 5. Identity the type of function.

Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2) . Find the range of f. Identify the type of function.

Evaluate (n!)/(r!(n-r)!) , when n = 5, r = 2.

If composite function f_1(f_2(f_3((f_n(x))))n timesis an decreasing function and if r of f_i ' s are decreasing function while rest are increasing, then the maximum value of r(n-r) is (n^2-1)/4 , when n is an even number (n^2)/4, when n is an odd number (n^2-1)/4, when n is an odd number (n^2)/4, when n is an even number