Originally Posted by

**skeeterrr** The question states:

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

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

(b) Sketch the graph of g(x) = {2x}

(c) Sketch the graph of h(x) = {x} + 1/2{2x}

(d) Sketch the graph of all points (x,y) which satisfy {x} + {y} = 1

(e) Sketch the graph of all points (x,y) which satisfy |x| + |y| = 1

For (a), does the graph look like a series of repeated triangles on the x-axis? (b) and (c) are similar to (a).

And I can't figure out (d) and (e)... hints/insights would be great. Thanks in advance!