If `f(x) = x^3 + 3x^2 + 12x-2sin x`, where `f : R ->R`, then

If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x) is many-one and onto (B) f(x) is one-one and onto(C) f(x) is one-one and into (D) f(x) is many-one and into

If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x) is many-one and onto (B) f(x) is one-one and onto(C) f(x) is one-one and into (D) f(x) is many-one and into

If f(x)=x^(3)+3x^(2)+12x-2sin x, where f:R rarr R, then

If f: R rarr R, f(x)=x^(3)+3x^(2)+10x+2sin x then the range of the function is given by

Let f : R to R be defined by f(x) = x^(3) + x^(2) + 5x + 2 sin x , Then

If f : R -> R is defined by f(x) = [2x] - 2[x] for x in R , where [x] is the greatest integer not exceeding x, then the range of f is

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , then f^-1 (2) is equal to

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

A : The function f(x) =2x^3-3x^2-12x+8 has minimum value R: For the above function f^'(2)=0 and f^' ' (2) gt 0