Which of the following functions from `A={x:-1lexle1}` to itself is bijection ?
i) `f(x)=sinx((pix)/(2))`
ii) `f(x)=(x)/(2)`
iii) `f(x)=x^(2)`
iv) `f(x)=|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

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

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)

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)

Find the range of the following (i) f(x) = x^(2) (ii) f(x) = x (iii) f(x) = x^(2) + 2 (iv) f(x) = x^(3)

Find the values of x for which the following functions are defined,.Also find all possible values which functions take.f(x)=(1)/(x+1) (ii) f(x)=(x-2)/(x-3) (iii) f(x)=(2x)/(x-1)

Which of the following functions are odd or even or neither: (i) f(x) = tan x + 3 cosec x +x (ii) f(x) = |x| +1 (iii) f(x) = |x-2|

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

Find the domain of each of the following real valued functions of real variable: f(x)=sqrt(x-2) (ii) f(x)=(1)/(sqrt(x^(2)-1)) (iii) f(x)=sqrt(9-x^(2))( iv )f(x)=sqrt((x-2)/(3-x))

Which of the following functions has (have) y-symmetry or origin symmetry? (i) f(x) = x^(2) sin x" "(ii) f(x) = log ((1-x)/(1+x)) (iii) f(x) = x/(e^(x)-1)+x/2 + 1