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

e.mccormickBest ResponseYou've already chosen the best response.1
Oh, 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.
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
When 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.
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
Then play connect the dots. Remember, you can't cross either the x or y axis.
 11 months ago

e.mccormickBest 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.
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
The 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.
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
Yep! https://www.desmos.com/calculator/n7xd8g8ojy
 11 months ago

ValentinaTBest ResponseYou've already chosen the best response.0
Could you help me with one more?
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
Sure, 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?
 11 months ago

ValentinaTBest ResponseYou've already chosen the best response.0
Because it is undefined?
 11 months ago

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

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

ValentinaTBest ResponseYou've already chosen the best response.0
Alright. One more problem?
 11 months ago

ValentinaTBest ResponseYou've already chosen the best response.0
Okay. \[y = \frac{ 18 }{ x }\]
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
It just changes what quads because of the .
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
The 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.
 11 months ago

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

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

e.mccormickBest ResponseYou've already chosen the best response.1
(1.8,10),(1.8,10)
 11 months ago

ValentinaTBest ResponseYou've already chosen the best response.0
Yeah, I just realized I did it wrong, thanks.
 11 months ago

ValentinaTBest ResponseYou've already chosen the best response.0
Thanks for the help!
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
Yah, not too terrible once you have the basic concept.
 11 months ago
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