**The Bounds of an Integral Theorem** assures the following:
If a function $~f(x)~$ is continuous on a closed interval $~[a,b]~$ and if $~f(min)~$ and $~f(max)~$are the absolute minimum and absolute maximum values of $f~$ on $~[a,b]~$ respectively, then
$\qquad \displaystyle f(min)\cdot(b-a)\le\int_a^bf(x)\,dx \le f(max)\cdot (b-a)\,$.
Using **The Bounds of an Integral Theorem**, what can be concluded about the function $~f~$ in figure below?

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