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Question 244850: find the domain and range of the following equation?
y=3+5x+2y
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Solve for y in this equation by subtracting 2y from each side.
y=3+5x+2y
y-2y=3+5x+2y-2y
-y=3+5x
Now divide both sides by -1, and you get
y=-3 -5x
This is a straight line graph with y intercept of -3 and slope of -5. Any value of x is allowed in this equation, since there are no denominators and no radicals in the equation. Therefore the domain is all real values of x. The graph goes all the way up and all the way down on a graph, so the range is also all real values.
You may want to see my own website for my own explanation of Domain and Range, and also a FREE video (or TWO!) that I had recorded in my classes a few years ago. To see my website, click on my tutor name "Rapaljer" anywhere in algebra.com. On my Homepage, look for "Rapalje Videos in Living Color". There, you will find a video in "Intermediate Algebra" and also one in "College Algebra" called "Functions, Domain, and Range." These are different videos, the one from Intermediate Algebra being presented on a lower level with less depth of coverage. I call it "FDR Lite"!! The videos were taken of me teaching in my class a few years ago, but they might help you understand this concept.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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