SOLUTION: draw the graph of the following linear function and give the domain and range: h(x)=-2x+3?

Question 181937: draw the graph of the following linear function and give the domain and range: h(x)=-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 down 2 and over 1

So starting at

, go down 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

Now notice that the graph extends in both directions along the x-axis. So this means that ANY value of "x" can be plugged into the function.

So the domain is all real numbers.

Also, take note that the graph extends in both directions along the y-axis as well. So this tells us that the range is also ANY number.

So the range is all real numbers.
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