Question 1096177
<br>No; the last two conditions are not in conflict -- although on a quick look it might seem that they are.<br>
Here are the definitions for the function:
y = 4 if x <= -2
y = 3 if -2 < x <= -1
y = 2 if -1 < x <= 0
y = 1 if 0 < x  (i.e., if x > 0)<br>
So the graph consists of four horizontal line segments; that should be easy.<br>
The somewhat tricky part in drawing the graph is the values of the function at the endpoints of the four intervals.  The usual convention is to use a solid dot or a left or right bracket [] if the endpoint of the interval is included, or an open dot (circle) or parentheses () if the endpoint is not included.<br>
So the graph for your function would be these four parts:
(1) y=4 everywhere to the left of x=-2, with a solid dot at x=-2;
(2) y=3 between -2 and -1, with an open dot at -2 and a solid dot at -1;
(3) y=2 between -1 and 0, with an open dot at -1 and a solid dot at 0; and
(4) y=1 everywhere to the right of x=0, with an open dot at x=0