if `f(x) = e^x`, where x is a real number , then range of f is :

If f be a function defined as f(x) = p for each x in R , where p is a real number, then f is called

If f(x) is a polynomial of degree n(gt2) and f(x)=f(alpha-x) , (where alpha is a fixed real number ), then the degree of f'(x) is

Show that the function f defined by f(x)=|1-x+x|, where x is any real number, is a continuous function.

If a polynomial function f(x) satisfies f(f(f(x))=8x+21 , where p and q are real numbers, then p+q is equal to _______

If a polynomial function f(x) satisfies f(f(f(x))=8x+21 , where pa n dq are real numbers, then p+q is equal to _______

If f(x)=2 for all real numbers x, then f(x+2)=

Let f(x)=-x^(2)+x+p , where p is a real number. If g(x)=[f(x)] and g(x) is discontinuous at x=(1)/(2) , then p - cannot be (where [.] represents the greatest integer function)

Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f(x) is the set of entire real numbers, the true set in which lambda lies is

Let be a real valued function defined by f(x) =e +e^x , then the range of f(x) is :

Find the range of each of the following functions. (i) f(x) = 2 3x , x in R , x > 0 (ii) f(x) =x^2+ 2 , x is a real number. (iii) f(x) = x , x is a real number.