Question

Match the correct algebraic representation with the graph.

Answer 1

I know this is late. I just saw this now! You may have already answered the problem, but I wanted to put it up here, maybe for other people like me to see :D

I realize this is long, so if you just wat the answer, and don't need the reasoning, the correct answer is E.

Ok, let's do this!

I was doing the same problem, and figured out that the answer is E by eliminating the answers one by one. Probably not the most efficient way, but hey! I got the answer!

So the first one I looked at was A. But I was able to eliminate that one because of the first piece of info that it gives us: $-2\leq x\leq 1$ This is not true, because the algebra says that x can equal 1 as well as be larger, but the graph only has an empty circle, so it does not match up.

The second one, B, got eliminated from the information x+y=1. Yes, that is true sometimes, but not all the time! where the line intersects at x=-1, y=0, x+y=-1, not 1. So that one is out as well.

The third one, C, is, yet again not the answer. We can figure that out by the first piece of information they give us: y=1+x. That may seem like it is true, but if you look close, you can see a couple places where that does not work. One of those is when x=-1/2, and y=3/4. This is not true because if you plug in the numbers, 3/4 does not equal 1+(-1/2).

The fourth one, D, is yet again, not the answer, beacuse the last piece of information they give us is false!  $x\geq -2$ is true for a bit, but only until it reaches 1. Then, x can't be 3,4,5, on and on and on.

So that means E has to be the right answer. In fact, both pieces of information they give relate to the graph. So E is the correct answer

I hope this helped!