SOLUTION: I am having trouble graphing this equation and I need some help on it. I have tried using demos or a calculator but it doesn't make me find the answer. Picture: https://imgur.c

Algebra ->  Graphs -> SOLUTION: I am having trouble graphing this equation and I need some help on it. I have tried using demos or a calculator but it doesn't make me find the answer. Picture: https://imgur.c      Log On


   



Question 1096177: I am having trouble graphing this equation and I need some help on it. I have tried using demos or a calculator but it doesn't make me find the answer.
Picture: https://imgur.com/a/5sBUp

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The last two conditions are in conflict.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

No; the last two conditions are not in conflict -- although on a quick look it might seem that they are.

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)

So the graph consists of four horizontal line segments; that should be easy.

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.

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