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September 20, 2025, 07:21:51 am

Author Topic: Blakhitman's Questions!  (Read 12687 times)  Share 

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TrueTears

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Re: Blakhitman's Questions!
« Reply #30 on: February 26, 2010, 09:11:52 pm »
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So when f(x) = 0, x = 0

1 - 2k+5=0

k = 3

lim_{x -> -infty} f(x) = 5

so a = 5

f(x) = 0 we need to find x.

let u = e^(x)

u^2 - 6u + 5 = 0

solve for u and then x.
« Last Edit: February 26, 2010, 09:13:26 pm by TrueTears »
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Re: Blakhitman's Questions!
« Reply #31 on: February 26, 2010, 09:35:11 pm »
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Actually jst4funz I wanna prove , can anyone show me how to finish this proof?



is defined from and assume

Thus for every there is a corresponding such that if then

But



But





« Last Edit: February 26, 2010, 09:56:14 pm by TrueTears »
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Blakhitman

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Re: Blakhitman's Questions!
« Reply #32 on: February 26, 2010, 09:49:45 pm »
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Thank you.

haha...wish I could return the favour by helping you with that...not gonna happen

TrueTears

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Re: Blakhitman's Questions!
« Reply #33 on: February 26, 2010, 09:56:39 pm »
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np, kamil will do it for sure :P this is his kinda maths
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kamil9876

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Re: Blakhitman's Questions!
« Reply #34 on: February 26, 2010, 10:09:20 pm »
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I wouldn't bother with something like that. Better of proving the basic general laws and simply then applying them to special cases like these (although Kamil doesn't like to bother with these kinds of very special cases anyway).
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

TrueTears

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Re: Blakhitman's Questions!
« Reply #35 on: February 26, 2010, 11:00:24 pm »
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I wouldn't bother with something like that. Better of proving the basic general laws and simply then applying them to special cases like these (although Kamil doesn't like to bother with these kinds of very special cases anyway).
well how would you finish off the proof, can you show me?
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Blakhitman

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Re: Blakhitman's Questions!
« Reply #36 on: March 01, 2010, 07:44:35 pm »
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O.k this was on our test, it's got to do with order of transformations...we never even talked about it in class :| I got it wrong, Wanna see what someone else gets!

The graph of y=|x| is transformed by the following sequence of transformations

  • Translation of 5 units in the positive direction of the x-axis
  • Translation of 6 units in the negative direction of the y-axis
  • reflection in the x-axis

What's the rule of the image...

naved_s9994

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Re: Blakhitman's Questions!
« Reply #37 on: March 01, 2010, 07:51:44 pm »
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y= - |x - 5|-6


Modulus is slightly different to other functions for transformations.
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Blakhitman

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Re: Blakhitman's Questions!
« Reply #38 on: March 01, 2010, 07:55:33 pm »
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haha oops I didn't give the choices ><

(a) y=6-|x-5|

(b) y=6+|x+5|

(c) y=-6+|x-5|

(d) y=6+|5-x|

(e) y=-6-|5-x|

the.watchman

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Re: Blakhitman's Questions!
« Reply #39 on: March 01, 2010, 07:56:28 pm »
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y= - |x - 5|-6

Modulus is slightly different to other functions for transformations.

Actually, wouldn't it be ?
The reflection occurs after the translation...
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naved_s9994

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Re: Blakhitman's Questions!
« Reply #40 on: March 01, 2010, 07:57:15 pm »
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Im not sure.
Isnt it Dialation Reflection Translation..?
« Last Edit: March 01, 2010, 07:59:01 pm by naved_s9994 »
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superflya

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Re: Blakhitman's Questions!
« Reply #41 on: March 01, 2010, 07:59:10 pm »
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DRT or RDT, both work. 6 units in neg y so it should be -6?
« Last Edit: March 01, 2010, 08:01:29 pm by superflya »
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the.watchman

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Re: Blakhitman's Questions!
« Reply #42 on: March 01, 2010, 07:59:57 pm »
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Im not sure.
Isnt it Dialation Reflection Translation..?

But they specifically GIVE the sequence, so you have to follow what the question says? (I think)
Confirmation from anyone else? :)
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naved_s9994

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Re: Blakhitman's Questions!
« Reply #43 on: March 01, 2010, 08:00:36 pm »
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DRT or RDT, both work.

Ohh okay, wasnt sure of RDT.
I knew or DRT. Hence my answer..
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naved_s9994

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Re: Blakhitman's Questions!
« Reply #44 on: March 01, 2010, 08:01:37 pm »
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Im not sure.
Isnt it Dialation Reflection Translation..?

But they specifically GIVE the sequence, so you have to follow what the question says? (I think)
Confirmation from anyone else? :)

I have no idea about that..

Yea, please...Could anyone confirm?
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