If f (x) = x 3 – x 2 + 100x + 1001, then

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. f (2000) > f (2001)
2. \(f\left(\frac{1}{1999}\right)>f\left(\frac{1}{2000}\right)\)
3. f (x + 1) > f (x – 1)
4. f (3x – 5) > f (3x)

Answer

(B) f ( 1 1999 )>f ( 1 2000 ), (C) f (x + 1) > f (x – 1)

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• If f(x)= array l x, when x is rational 1-x, when x is irrational, then array .
• The abscissa of a point on the curve xy = (a + x) 2 , the tangent at which cuts off equal intercepts on the…
• If f (x) is a differentiable function and φ (x) is twice differentiable function and α and β are roots of the…
• If x = 1-t^ 2 1+t^ 2 and y = 2 t 1+ t ^ 2 , then dy dx is equal to
• _ x / 4 ^ 3 x- x (x+ 4 ) is:
• Consider a function f( x )= ( - 1 - x ) (4 – 3x 2 ) where ‘α’ is a positive parameter Number of points of…
• The minimum value of a tan 2 x + b cot 2 x equals the maximum value of a sin 2 θ + b cos 2 θ where a > b > 0…
• A curve is represented parametrically by the equation x = t + e at and y = –t + e at when t ∈ R and a > 0 …

More Limit, Continuity and Differentiability questions · Browse all practice questions