Strictly Decreasing Functions

Q.

What is the condition for a function y = f(x) to be a Strictly decreasing function.

1. x₁ > x₂ ⇒ f(x₁) < f(x₂)

2. x₁ > x₂ ⇒ f(x₁) = f(x₂)

3. None of these.

4. x₁ > x₂ ⇒ f(x₁) ≤ f(x₂)

Q.

What is the condition for a function y = f(x) to be a Strictly decreasing function.

1. x₁ > x₂ ⇒ f(x₁) < f(x₂)

2. x₁ > x₂ ⇒ f(x₁) = f(x₂)

3. x₁ > x₂ ⇒ f(x₁) ≤ f(x₂)

4. None of these

Q. On which of the following intervals is the function f given by strictly decreasing? (A) (B) (C) (D) None of these

Q. Which of the following functions are strictly decreasing on ? (A) cos x (B) cos 2 x (C) cos 3 x (D) tan x

Q.

What is the condition for a function y = f(x) to be a Strictly decreasing function.

1. $x_1>x_2\Rightarrow f\left(x_1\right)<f\left(x_2\right)$

2. $x_1>x_2\Rightarrow f\left(x_1\right)=f\left(x_2\right)$

3. $x_1>x_2\Rightarrow f\left(x_1\right)\le f\left(x_2\right)$

4. $Noneofthese$

Q.

What is the condition for a function y = f(x) to be a Strictly decreasing function.

1. $x_1>x_2\Rightarrow f\left(x_1\right)<f\left(x_2\right)$

2. $x_1>x_2\Rightarrow f\left(x_1\right)=f\left(x_2\right)$

3. $x_1>x_2\Rightarrow f\left(x_1\right)\le f\left(x_2\right)$

4. $Noneofthese$