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chaotic_butterflies
 one year ago
Compare the functions shown below:
(picture below)
Which function has the greatest yintercept?
chaotic_butterflies
 one year ago
Compare the functions shown below: (picture below) Which function has the greatest yintercept?

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chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0@iambatman

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Set x= to zero and compare value of the two functions. When you set x=0, the function is crossing the yaxis  hence the term, "yintercept." Recall that cos(0) = 1 and cos(0  pi) = cos (pi) = 1

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I understand, but how do you get the function from the middle graph?

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1If you want to find the function that matches the middle graph you need to first determine for this function, whether you are going to use cosine or sine. Which function, cosine or sine, is smaller at x=0?

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I got 5 and 7.13 for the other two... and I'm not sure which is smaller...

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I mean I know what's smaller between 5 and 7.13  but not cosine or sine

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Which of these is similar to the function in your middle graph: dw:1433628050735:dw To determine which is small between 5 and 7.13 use the number line dw:1433628325169:dw I don't know how you got 7.13 from the second function.

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I'm thinking sine... and I'll explain. h(x) = 2 cos(2x − π) + 4 h(x) = 2 cos(0 − π) + 4 h(x) = 2 cos(π) + 4 h(x) = 2 cos(π) + 4 h(x) = 0.99..(3.14) + 4 h(x) = 4.13 + 4 h(x) = 8.13

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Well it's one number off this time

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1note that $$ \cos \pi = \cos \pi=1 $$

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0but would it be negative pi because it's just being subtracted from 0 which is nothing  so if you take nothing away from something, that doesn't alter it...

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1$$ 0\pi = \pi $$ right?

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I didn't think that would be correct...

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Well I just tested it on my calculator and that's true, I never knew that occurred.

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0OH MY GOSH I FEEL SO STUPID I COULD GET THE Y INTERCEPT FROM THE MIDDLE BY JUST LOOKING AT THE GRAPH /)_

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see whatcha did there!

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Yes, if you want the yintercept, look at the graph where x=0, that's where the graph "intercepts" the yaxis

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433629403543:dw See how one is rotating counter clockwise and the other is rotating clockwise by 180 degrees but in the end, both are facing YOU!

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I appreciate this so much.

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1no problem  so do you need more help with this one?

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0yes please, let me try to redo the middle one and I'd like for you to check it

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Would it be 3?

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1The yintercept of the middle graph is 3. Yes!

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Thank you Chris Evans guy!

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1There seems to be a few things you've asked here: yintercept, graph of the function, which function has biggest yintercept. Not sure which you are solving. brb

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I was just trying to figure out what the greatest y intercept was, but I had questions within the question which you answered

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0But wait, my options don't allow me to pick both g(x) and h(x), yet they both have the same y intercept which is larger than 5..

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Ok, now I see the whole problem now, LOL It's asking which functions, f(x), g(x) , h(x) or all have the greatest yintercept (i.e. which has the largest value of y when x=0): $$ f(0)\\ g(0)\\ h(0) $$ What is f(0)? What is g(0)? What is h(0)?

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Did we not just do all of that??

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1What did you get for f(0),g(0) and h(0)?

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Doesn't f(0) mean that you set the x to 0 in the function? That's exactly what we did!

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Yes, so f(0) was what?

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1I see that you've highlighted f(0)=5,g(0)=3 and maybe h(0)=3. The last one is not correct. Once you get all these right, compare them and take the max.

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Oh, the last one was the one you corrected me on and I redid, I'll do it again then.

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0h(x) = 2 cos(2x − π) + 4 h(x) = 2 cos(− π) + 4 h(x) =  3.13 + 4 h(x) = 0.86 Oh wow that's wayy different...

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0oh right the cos and pi thing

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1$$ h(0) = 2 \cos(2\times0 − \pi) + 4\\ h(0) = 2 \cos(−\pi) + 4\\ h(0) = 2\times \color{red}{1} + 4\\ h(0) = 2+4\\ $$ http://www.wolframalpha.com/input/?i=cos%28pi%29

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0So that leaves me with 2, and that's the greatest value!

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Herp a derp, I knew that >.<

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much!

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1yep, so f(0)=5 g(0)=3 h(0)=2 The order from smallest to largest: 5<3<2

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Why thank you Mr. Evans.
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