Question

What does it mean when a function is increasing?

Answer 1

Increasing Function:

• A function is a relation between a set of input values that has only one output value.

• A function is said to be increasing if the $y$ value increases with an increase in the $x$ value.
• The function $y=f\left(x\right)$, if $x_2>x_{1,}$then $f\left(x_2\right)\ge f\left(x_1\right)$is an increasing function and $f\left(x_2\right)>f\left(x_1\right)$is a strictly increasing function.
• Derivative of increasing is always greather than or equal to zero i.e.$f\text{'}\left(x\right)\ge 0$

Hence, the meaning of increasing function is explained.