Which of the following functions is/are bounded ? `f(x)=(2x)/(1+x^2), [-2,2]`

For which of the following functions does f(x) f(2 - x) ?

Which of the following functions is (are) even, odd or neither: f(x)=sqrt(1+x+x^(2))-sqrt(1-x+x^(2))

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

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 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

Find the values of x for which the following function is defined: f(x)=sqrt((1)/(|x-2|-(x-2)))

For what value of k is the following function continuous at x=2? f(x)={2x+1; x 2}

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

Draw the graph of the following function: f(x)=sin^(-1)(x+2)

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