If the real-valued function f(x) = px + sinx is a bijective function, then the set of all possible values of `p in R` is

Which one of the following is a bijective function on the set of real numbers ?

If x^(2) + 2px - 2p + 8 gt 0 for all real values of x, then the set of all possible values of p is

The maximum value of the function f(x)=sinx is……

Let f be a function defined from R rarr R as f(x)={ x+p^(2) x 2} If f(x) is surjective function then sum of all possible integral values of p for p in [0 ,10] is

P.T the real valued function f(x)= (x)/(e^(x)-1) + x/2 + 1 is an even function on R-{0} .

If f:[-20,20]->R defined by f(x)=[x^2/a]sinx+cosx is an even function, then set of values of a is

If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.in, R then the set of possible values of p (independent of x) is

Let a function f defined from R rarr R as f(x)=[x+p^(2)f or x 2 If the function is surjective,then find the sum of all possible integral values of p in [-100,100].

If f(x)=(p^(2)-1)/(p^(2)+1)x^(3)-3x+log2 is a decreasing function of x in,R then the set of possible values of p (independent of x) is

If f(x) is a real-valued function defined as f(x)=In (1-sinx), then the graph of f(x) is