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

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


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

Looking at y=-2x%2B1 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2 and the y-intercept is b=1


Since b=1 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
slope=rise%2Frun

Also, because the slope is -2, this means:

rise%2Frun=-2%2F1


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 y=-2x%2B1

So this is the graph of y=-2x%2B1 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.