• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Geometrical applications of Calculus! Curve Sketching Q. (1 Viewer)

g4geexa

Member
Joined
Sep 28, 2008
Messages
49
Gender
Female
HSC
2009
Do you put a scale in your sketch???
Im not sure because we don't normally find the x-intercepts, and we may end up contradicting ourselves..

What are your thoughts??

Do you just plot known pts? (stationary pts, points of inflection, end points etc..)
 

tommykins

i am number -e^i*pi
Joined
Feb 18, 2007
Messages
5,730
Gender
Male
HSC
2008
you ALWAYS plot intercetps (x and y) and stationary points whre specified.

all assymptotes need to be labeled.
 

Michaelmoo

cbff...
Joined
Sep 23, 2008
Messages
591
Gender
Male
HSC
2009
tommykins said:
you ALWAYS plot intercetps (x and y) and stationary points whre specified.

all assymptotes need to be labeled.
The only exception I think would be for a circle with centre other than the origin. In that case you don't need x/y intercepts, just centre, and a point indicating the radius.
 

Trebla

Administrator
Administrator
Joined
Feb 16, 2005
Messages
8,401
Gender
Male
HSC
2006
Labelling axes, intercepts and asymptotes is a must if they're easy to find. Turning points and inflexion points should be labelled only if the question requires you to do so or you found them in an earlier part of the question.
 
Last edited:

tommykins

i am number -e^i*pi
Joined
Feb 18, 2007
Messages
5,730
Gender
Male
HSC
2008
lol, once you do 4unit you'll need to label all intersections because you deal with ellipses.
 

g4geexa

Member
Joined
Sep 28, 2008
Messages
49
Gender
Female
HSC
2009
Okay, say we have.. 2x^3 - 4x^2 -12X + 5

In that case, the x intercepts would be too hard to find.
Of course I would lable the y intercept and all neccessary points on the graph... but do I put in a scale for it?

If I don't know the x intercepts won't I end up contradicting myself???
 

tommykins

i am number -e^i*pi
Joined
Feb 18, 2007
Messages
5,730
Gender
Male
HSC
2008
nah you normally just do a rough sketch (ie. the shape), don't have to be pedantic and make like 1cm = 1 unit or anything.
 

g4geexa

Member
Joined
Sep 28, 2008
Messages
49
Gender
Female
HSC
2009
Yeah alright that sound logical. I don't think they're gonna be too worried if I put a scale on the axes anyway.
 

Michaelmoo

cbff...
Joined
Sep 23, 2008
Messages
591
Gender
Male
HSC
2009
tommykins said:
lol, once you do 4unit you'll need to label all intersections because you deal with ellipses.
Yer lol, but you don't have to bother with 2 unit circles
 

shaon0

...
Joined
Mar 26, 2008
Messages
2,029
Location
Guess
Gender
Male
HSC
2009
Michaelmoo said:
Yer lol, but you don't have to bother with 2 unit circles
Oh crap. Why do i label all my circl'e intersections of axes. :(
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top