Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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.

share|cite|improve this question
@lhf I edited my question, hope it's enough now. – Gigili Jan 23 '12 at 13:52
up vote 3 down vote accepted

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 $g(2)=f(2)$.

share|cite|improve this answer
I realized where I made a mistake, thanks. – Gigili Jan 23 '12 at 13:59

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.