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## Homework Statement

Suppose we define {x} to be the distance from x to the nearest integer.

a) Sketch the graph of f(x) = {x}

b) " g(x) = {2x}

c) " h(x) = {x} + 1/2{x}

d) " all points (x,y) which satisfy {x} + {y} = 1

e) " all points (x,y) which satisfy |x| + |y| = 1

## Homework Equations

n/a

## The Attempt at a Solution

I'm not sure how to begin this...

I don't understand when it says "{x} to be the distance from x to the nearest integer". (I'm not very good at English, I am an international student...)

Can anyone clarify what this is saying and provide some hints?

A well thanks in advance!