Plot $f(\lfloor x \rfloor)$ using $f(x)$

Question

We have plot of $f(x)$. How we can plot $f(\lfloor x \rfloor)$ using geometric ways ?

My try : I think we should draw vertical lines parallel to axis $y$ on integer numbers but What is the next step ?

Answer 1

One can mark the points at $f(n)$ where $n\in\mathbb{Z}$ and draw the horizontal segments on $[n,n+1)$.

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The simplest example is given by $f(x)=x$.

Answer 2

For each integer $x$, calculate $f(x)$ and draw a horizontal line connecting $x$ to $x+1$.