Question

What is the condition for a function y = f(x) to be a strictly increasing 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. $x_1>x_2\Rightarrow f\left(x_1\right)\ge f\left(x_2\right)$
• D. None of these

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 increasing function is a function which increases on increasing the values of x. I.e. y values or f(x) values increases on increasing the x values. That is

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