Question

For every value of $x$ function $f\left(x\right)=e^x$ is

Answer 1

Finding the function $f\left(x\right)=e^x$ :

Given that $f\left(x\right)=e^x$

Differentiate with respect to $x$

$f\text{'}\left(x\right)=e^x>0$ for all values of $x$

So the given function is increasing function

Hence, the function $f\left(x\right)=e^x$ is increasing function