Question

What is a strictly decreasing function?

Answer 1

Strictly decreasing function:

• A function $f\left(x\right)$ is said to be a strictly decreasing function on an interval $I$ , if $f\left(b\right)<f\left(a\right)$ for all $b>a$, where $a,b\in I$ .
• If the derivative $f\text{'}\left(x\right)$ of a continuous function $f\left(x\right)$ satisfies $f\text{'}\left(x\right)<0$ on an interval $\left(a,b\right)$, then $f\left(x\right)$ is decreasing on $\left(a,b\right)$.