In each of the following cases state whether the functions is bijective or not. Justify your answer:
`f:R to R defined by `f(x)=2x+1`

In each of the following cases state whether the functions is bijective or not. Justify your answer: f:R to R defined by f(x)=3-4x^(2)

Check whether the following functions are one to one and onto (i) f:NtoN defined by f(x) = x +3.

Is the function f(x) = |x| differentiable at the origin. Justify your answer.

Check whether the following functions are on-to-oneness ande ontoness. (i) f: N to N" defined by f(n)="n^(2) (ii) f: R to R" defined by f(n)"=n^(2)

Which of the following functions has inverse function? a) f: ZrarrZ defined by f(x)=x+2 b) f: ZrarrZ defined by f(x)=2x c) f: ZrarrZ defined byy f(x)=x d) f: ZrarrZ defined by f(x)=|x|

Let A={1,2,3,4}, B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,11)} Are the following true? (i) f is a relation from A to B (ii) f is a function from A to B. Justify your answer in each case.