How many functions are possible from the set `A={1,2,3}` in to itselt if `f(1)!=1,f(2)!=2` and `f(3)!=3`.

How many of the following are possible 1p,2s,3p,3f,3d

Let f be two differentiable function satisfying f(1)=1,f(2)=4, f(3)=9 , then

If f(x) is a twice differentiable function and given that f(1)=2,f(2)=5 and f(3)=10 then

If f(x) is a polynomial of degree four with leading coefficient one satisfying f(1)=1, f(2)=2,f(3)=3 .then [(f(-1)+f(5))/(f(0)+f(4))]

Let f: IvecI be a function (I is set of integers ) such that f(0)=1,f(f(n)=f(f(n+2)+2)=ndot then f(3)=0 b. f(2)=0 c. f(3=-2) d. f is many one function

Consider set A = {x_(1), x_(2), x_(3), x_(4), x_(5)} and set B = {y_(1), y_(2), y_(3)} . Function f is defined from A to B. Number of function from A to B such that f(x_(1)) = y_(1) and f(x_(2)) != y_(2) is

Consider set A = {x_(1), x_(2), x_(3), x_(4), x_(5)} and set B = {y_(1), y_(2), y_(3)} . Function f is defined from A to B. Number of function from A to B such that f(x_(1)) = y_(1) and f(x_(2)) != y_(2) is

The function f is defined by f(x)={{:(x+3" if ",xlt1),(x^(2)" if ",xge1):} . Find f(-5),f(1), and f(3) .

Let f(x) be a twice differentiable function for all real values of x and satisfies f(1)=1,f(2)=4,f(3)=9. Then which of the following is definitely true? (a) f^('')=2AAx in (1,3) (b) f^('')=f(x)=5forsom ex in (2,3) (c) f^('')=3AAx in (2,3) (d) f^('')=2forsom ex in (1,3)

A function f(x) is defined as f(x)=x^2+3 . Find f(0), F(1), f(x^2), f(x+1) and f(f(1)) .