Classify the following functions f(x) defined in `R to R` as injective , surjective , both or none .
`f(x) = x^(2)`

Classify the following function f(x) defined in RtoR as injective, surjective, both or none. f(x)=x|x|

Classify the following function f(x) defined in RtoR as injective, surjective, both or none. f(x)=x|x|

Classify the following function f(x) defined in RtoR as injective, surjective, both or none. f(x)=(x^(2))/(1+x^(2))

Classify the following function f(x) defined in RtoR as injective, surjective, both or none. f(x)=(x^(2))/(1+x^(2))

Q.16 Classify the following functions f(x) defined in R rarr R as injective,surjective,both or none (iv) f(x)=x^(3)-6x^(2)+11x-6

Q.16 Classify the following functions f(x) defined in RrarrR as injective, surjective, both or none (iv)f(x)= x^3-6x^2+11x-6

Classify the following functions as injective, surjective, both or none.DRbbe a function defined by X)f:Rvec R, be a function defined by f(x)= - + 48 73072 – 8x + 18fRRbe a function defined by f(x)=v3 62

State whether the function f:NrarrN defined by f(x)=5x is injective, surjective or both.

Classify the following functions as injection, surjection or bijection. Find the inverse function if exists. (i) f: R-[2] to R-[1] defined by f(x) = (x-1)/(x-2) (ii) f: R to R^(+) defined by f(x) = (1/2)^(x) (iii) f : R to (0,1] defined by f(x) =1/(x^(2)+1)

Show that the function f : R^+toR^+ defined by f (x) =x+1/x is injective, but not surjective .