SOLUTION: Graph each relation and state the domain and range of each relation. Then determine whether the relation is a function. Please y = 2x � 3

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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