SOLUTION: Please help me with this: Graph the linear function. Give the domain and range. f(x)= -2x + 1

Question 317810: Please help me with this: Graph the linear function. Give the domain and range.
f(x)= -2x + 1
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

Since you can plug in any x value, this means that the domain is the set of all real numbers.

Because you can plug in any number, you can effectively land on any number in the range. So the range is also the set of all real numbers.
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