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If the graph of function $f$ on $[-1,2)$ is the following graph, what's the graph of $y=f([x])$ on the same interval?

enter image description here

What I've tried:

I thought on $[0,2]$ it was a horizontal line like the constant function $f=1$ and on $[-1,0]$ it'd be the same with $f=-1$ but it's wrong.

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    @lhf I edited my question, hope it's enough now.2012-01-23

1 Answers 1

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Let $g(x)=f([x])$. Then $g(x)=f(-1)$ in $[-1,0)$, $g(x)=f(0)$ in $[0,1)$, $g(x)=f(1)$ in $[1,2)$ and $g(2)=f(2)$.

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    I realized where I made a mistake, thanks.2012-01-23