State whether the function is one-one, onto or bijective. Justify your answer f : R → R defined by f(x) = 1 + x2

In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.(i) f : R->R , defined by f (x) = 3 4x (ii) f : R->R , defined by f(x) =1+x^2

Show that the function f:RtoR:f(x)=3-4x is one-one onto and hence bijective.

Let f : N->N be defined by f(n)={(n+1)/2,"if n is odd " n/2,"if n is even " for all n in N . State whether the function f is bijective. Justify your answer.

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,\ 1] . Then, discuss whether the following functions from A to itself are one-one, onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

State which of the following functions are one-one and why? f:R^(+)toR^(+) defined by f(x) =1+x^(2)

The set of parameter 'a' for which the functions f:R to R"defined by"f(x)=ax+sin x is bijective, is

Examine whether the following functions are one-one, many-one or into, onto f(x)=x^(2)+lnx