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ValentinaT
 2 years ago
Can someone show me how to graph xy = 15?
ValentinaT
 2 years ago
Can someone show me how to graph xy = 15?

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e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1Find y, graph a few points, like the y intercept. and watch out for x=0.

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, and finding the y intercept is actually a bit of a trick.... you may notice there is not one. There is also not an x intercept.

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1When you solve for y, you get: \(y=\frac{15}{x}\) Any x that evenly divides 15 is a good point to use. So \(x=\{3,1.5,1.5,3\}\) give useful points.

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1Then play connect the dots. Remember, you can't cross either the x or y axis.

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1(1,15), (15,1), (1,15), (15,1) are also there, so you have an idea what happens to the tails.

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1The lack of an x or y intercept is one of the big clues to the shape. Do you know what that means? What quadrants your points are in is the other part of this clue.

ValentinaT
 2 years ago
Best ResponseYou've already chosen the best response.0Could you help me with one more?

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1Sure, but first... one concept from this type graph becomes super important later in math. Can you guess why the graph shoots up and down as it gets close to the origin?

ValentinaT
 2 years ago
Best ResponseYou've already chosen the best response.0Because it is undefined?

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1\(y=\frac{15}{x}\) Well, what if x is really small? Close to 0. Say \(x=\frac{1}{100}\) \[y=\frac{15}{\frac{1}{100}}\\ y=\frac{15}{1}\cdot\frac{100}{1}\\ y=1500\]

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1The undefined part then becomes what they call an asymptote. Vertical asymptotes are lines that can not be crossed.

ValentinaT
 2 years ago
Best ResponseYou've already chosen the best response.0Alright. One more problem?

ValentinaT
 2 years ago
Best ResponseYou've already chosen the best response.0Okay. \[y = \frac{ 18 }{ x }\]

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1It just changes what quads because of the .

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1The important thing for easy graphing of these are factors of 18. Half points are not bad, but sometimes when you get down to weird numbers it just gets hard to graph nicely. 18 9 6 3 2 1 are all factors of 18. So they make the "easy" points this time. 1.8 is OK, just not as easy to graph as whole numbers and halfs.

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1And you will get something like:dw:1368216529907:dwNot to scale this time, but I am sure that you get the point by now.

ValentinaT
 2 years ago
Best ResponseYou've already chosen the best response.0For some reason 1.8,10 and 1.8,10 aren't plotting right, I know you said it would be a bit harder.

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1(1.8,10),(1.8,10)

ValentinaT
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah, I just realized I did it wrong, thanks.

ValentinaT
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks for the help!

e.mccormick
 2 years ago
Best ResponseYou've already chosen the best response.1Yah, not too terrible once you have the basic concept.
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