Question

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

• A. x₁ > x₂ ⇒ f(x₁) < f(x₂)
• B. x₁ > x₂ ⇒ f(x₁) = f(x₂)
• C. x₁ > x₂ ⇒ f(x₁) ≤ f(x₂)
• D. None of these

Answer 1

The correct option is A

x₁ > x₂ ⇒ f(x₁) < f(x₂)

We know from the definition, that a Strictly decreasing function is a function which decreases on increasing the values of x. I.e. y values or f(x) values decreases on increasing the x values. We can say $x_1>x_2\Rightarrow f\left(x_1\right)<f\left(x_2\right)$