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Question 932210: Graph each relation and state the domain and range of each relation. Then determine whether the relation is a function. Please
y = 2x – 3
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is 
Since this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1
So starting at , go up 2 units
and to the right 1 unit to get to the next point )
Now draw a line through these points to graph
 So this is the graph of through the points and
From the graph we see that any x value can be plugged in, so the domain is the set of all real numbers.
Also, we see that any y value is possible, so the range is the set of all real numbers.
This relation is indeed a function because it does pass the vertical line test.
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