Which of the following function from Z to itself are bijections? `f(x)=x^3` (b) `f(x)=x+2` `f(x)=2x+1` (d) `f(x)=x^2+x`

Which of the following functions from A={x in R :-1lt=xlt=1} to itself are bijections? f(x)=|x| (b) f(x)=sin(pix)/2 (c) f(x)=sin(pix)/4 (d) none of these

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|quad (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)

Which of the following function is non- differentiable in domain? f(x)=(x-2)/(x^(2)+3) (b) f(x)=log|x|f(x)=x^(3)log x(d)f(x)=(x-3)^((3)/(5))

Which of the following functions is the inverse of itself? f(x)=(1-x)/(1+x) (b) f(x)=5^(log x)f(x)=2^(x(x-1))(d) None of these

Examine the following functions for continuity. (a) f(x)=x-5 (b) f(x)=1/(x-5) (c) f(x)=(x^2-25)/(x+5) (d) f(x)=|x-5|

If f(x) is a real valued function, then which of the following is injective function ? (i) f(x) = x^(5) (ii) f(x) = x + sin x (iii) f(x) = x^(2) (iv) f(x) = e^(x) (v) f(x) = x^(3) + x^(2) + 4x + 4

Which of the following function is surjective but not injective.(a) f:R rarr R,f(x)=x^(4)+2x^(3)-x^(2)+1(b)f:R rarr R,f(x)=x^(2)+x+1(c)f:R rarr R^(+),f(x)=sqrt(x^(2)+1)(d)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1

Which of the following functions has inverse function? f:Z rarr Z defined by f(x)=x+2f:Z rarr Z defined by f(x)=2xf:Z rarr Z defined byy f(x)=xf:Z rarr Z defined by f(x)=|x|

Let A={x:-1 le x le 1}=B be a function f: A to B. Then find the nature of each of the following functions. (i) f(x) = |x| " (ii) " f(x)=x|x| (iii) f(x)=x^(3) " (iv) " f(x)="sin"(pi x)/(2)