Question

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

• A. $x_1>x_2\Rightarrow f\left(x_1\right)<f\left(x_2\right)$
• B. $x_1>x_2\Rightarrow f\left(x_1\right)=f\left(x_2\right)$
• C. $x_1>x_2\Rightarrow f\left(x_1\right)\le f\left(x_2\right)$
• D. $Noneofthese$

Answer 1

The correct option is A

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

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