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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 ?

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    What do you mean by "geometric ways"? – 2017-01-04
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    For each interval of the form $[n,n+1)$, your graph will be a horizontal line with $y=f(n)$. So basic idea is to start with the plot of $y=f(x)$, and at integer point draw a horizontal line until the next integer. – 2017-01-04
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    Like drawing lines – 2017-01-04

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

The simplest example is given by $f(x)=x$. enter image description here

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    I think , I've got it but can you draw a graph for better understanding ? – 2017-01-04
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    @S.H.W: well, consider the example $f(x)=x$ and look at the picture for the [floor function](https://en.wikipedia.org/wiki/Floor_and_ceiling_functions). – 2017-01-04
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For each integer $x$, calculate $f(x)$ and draw a horizontal line connecting $x$ to $x+1$.