Login

Welcome, Guest. Please login or register.

October 21, 2025, 06:04:15 pm

Author Topic: 1,000,000 Question Thread :D  (Read 44351 times)  Share 

0 Members and 1 Guest are viewing this topic.

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: 1,000,000 Question Thread :D
« Reply #285 on: December 12, 2009, 03:14:51 pm »
0
1. Can you make denominator=0 to find asymptote equations? E.g. f(x)=1/(x+2)  (x+2)=0 x=-2? Not sure how to show working to find the vertical asymptote though.. Or is TT's method better thats more explanation though?

2. When sketching y=(f+g)(x) do we also need to include y=f(x) and y=g(x)
1. Yes your working with could be:
Vertical:
Horizontal:

2. Sketch and then add them. If its then sketch and and add like before.
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: 1,000,000 Question Thread :D
« Reply #286 on: December 12, 2009, 03:19:38 pm »
0
1. Can you make denominator=0 to find asymptote equations? E.g. f(x)=1/(x+2)  (x+2)=0 x=-2? Not sure how to show working to find the vertical asymptote though.. Or is TT's method better thats more explanation though?

2. When sketching y=(f+g)(x) do we also need to include y=f(x) and y=g(x)
1. Yes your working with could be:
Vertical:
Horizontal:

2. Sketch and then add them. If its then sketch and and add like before.
You mean add several co ordinates? i.e. the y co ords which correspond to the same x co ord ?

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: 1,000,000 Question Thread :D
« Reply #287 on: December 12, 2009, 03:29:01 pm »
0
Yeah. You can break it up and find 'important' points where the addition alters majorly and join these points smoothly.
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: 1,000,000 Question Thread :D
« Reply #288 on: December 12, 2009, 09:06:01 pm »
0
I did






« Last Edit: December 12, 2009, 09:18:43 pm by kenhung123 »

Juddinator

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 269
  • Respect: -4
Re: 1,000,000 Question Thread :D
« Reply #289 on: December 16, 2009, 09:55:02 am »
0
I don't understand how to find an image and pre-image of a function...

Consider the function f(x)=2x-3. Find:

a) the image of 3
b) the pre-image of 11
c) {x: f(x)=4x}

Thanks

stonecold

  • Victorian
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 5335
  • Respect: +255
  • School Grad Year: 2010
Re: 1,000,000 Question Thread :D
« Reply #290 on: December 16, 2009, 10:18:49 am »
0
I don't understand how to find an image and pre-image of a function...

Consider the function f(x)=2x-3. Find:

a) the image of 3
b) the pre-image of 11
c) {x: f(x)=4x}

Thanks

Image simply means find y when given an x value, and pre image image means find x when given a y value.

a) 2x3-3 =3
b) 11=2x-3   x=7
c) 2x-3=4x  x=-1.5

Go Juddy!
« Last Edit: December 16, 2009, 10:23:02 am by stonecold »
2011-13: BBiomed (Microbiology & Immunology Major) @ UniMelb


VCE 2009'10: English 46 | English Language 49 | Chemistry 50 | Biology 50 | Further Mathematics 48 | Mathematical Methods CAS 39
ATAR: 99.85

"Failure is not when one falls down but rather when one fails to get up" - unknown

Juddinator

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 269
  • Respect: -4
Re: 1,000,000 Question Thread :D
« Reply #291 on: December 16, 2009, 06:39:29 pm »
0
Image simply means find y when given an x value, and pre image image means find x when given a y value.

a) 2x3-3 =3
b) 11=2x-3   x=7
c) 2x-3=4x  x=-1.5

Go Juddy!
[/quote]
Thanks mate and yes go Juddy!!!

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: 1,000,000 Question Thread :D
« Reply #292 on: December 18, 2009, 12:52:29 pm »
0
Who likes combinatorics and summation notation questions?

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: 1,000,000 Question Thread :D
« Reply #293 on: December 18, 2009, 06:20:53 pm »
0
Who likes combinatorics and summation notation questions?
Combinatorics with generating functions are my favorite type of maths atm. Although kamil says combinatorics+number theory is also fun, I'm yet to do any number theory :(
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: 1,000,000 Question Thread :D
« Reply #294 on: December 18, 2009, 06:37:21 pm »
0
Don't lie, we know you love any maths :D

Juddinator

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 269
  • Respect: -4
Re: 1,000,000 Question Thread :D
« Reply #295 on: December 20, 2009, 04:41:06 pm »
0
I don't get how to get two separate values when solving for x.

For .    {x:f(x)=0}

I can get to a point where I get 2/3-1=x^2

Thanks
« Last Edit: December 20, 2009, 04:43:22 pm by Juddinator »

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: 1,000,000 Question Thread :D
« Reply #296 on: December 20, 2009, 04:45:46 pm »
0




Simplification can be done now.
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: 1,000,000 Question Thread :D
« Reply #297 on: December 20, 2009, 04:46:07 pm »
0
Maybe there are 2 intercepts or 1 intercept and 1 turning point

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: 1,000,000 Question Thread :D
« Reply #298 on: December 20, 2009, 04:46:29 pm »
0




Simplification can be done now.
Your lightning fast lol!

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: 1,000,000 Question Thread :D
« Reply #299 on: December 20, 2009, 04:47:04 pm »
0




Simplification can be done now.
Your lightning fast lol!
Speed are precision are essential.
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.