If f(x) = x^(3) - 6x^(2) + 9x + 3 be a d...

If `f(x) = x^(3) - 6x^(2) + 9x + 3` be a decreasing function, then x lies in

A

`f(X) gt 0` for all `x in R`

B

`f(x) gt f(x+1`) does not hold for any real x.

C

f(x) is invertible.

D

f(x) is a one - one function

Verified by Experts

The correct Answer is:

B, C, D

Similar Questions

Explore conceptually related problems

The interval on which the function f(x) = 2x^(3) + 9x^(2) + 12 x - 1 is decreasing is

If f(x)=2x^3+9x^2+lambdax+20 is a decreasing function fo x in the largest possible interval (-2,-1) then lambda =

If f(x)=x^3+4x^2+ax+5 is a monotonically decreasing function of x in the largest possible interval (-2,-2//3), then the value of a is

Show that the function f(x)=x^(3)+1/(x^(3)) is decreasing function in the interval [-1,1]-{0} .

Let f(x) = 3x^(2) + 6x + 5 and g(x) = x + 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x)

Find the intervals in which the function f(x) = 2x^(3)-15x^(2)+36x + 6 is (i) increasing, (ii) decreasing.

If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then

Let f(x) = x^(3) + 3x^(2) + 9x + 6 sin x then roots of the equation (1)/(x-f(1))+(2)/(x-f(2))+(3)/(x-f(3))=0 , has

Express the function f(x) =2x^(4) - 3x^(2) + 6x+7-4 sin x as sum of an even and an odd function.

Let f (x) =x ^(3) + 6x ^(2) + ax +2, if (-3, -1) is the largest possible interval for which f (x) is decreasing function, then a=