Curve Sketching Horror!!! (1 Viewer)

[thekooldude]

I suck at curve sketching, I'm finding it the hardest topic for 4U!
Is there any hints, tips and tricks to curve sketching and can anyone
refer me to any useful resources to help with curve sketching.
I cannot even manipulate reciprocal functions.

 

[shongaponga]

A simple way to get a hang of curve sketching is to simply go back to basics and use a Table Of Values. Let's use the example this example; f(x) = x, sketch f(x) = 1/x.
Now we now that f(x) = x is a 45' line from the origin O, so simply choose a few distinct points. I'm going to choose x = -3,-2, -1, -->0-, 0, -->0+, 1, 2, 3. Now apply these same points to f(x) = 1/x. It becomes; -1/3, -1/2,-1. --> ∞-, undefined, --> ∞+, 1, 1/2, 1/3 respectively. This method, albeit time consuming, should help give you a basis to curve sketching and allow you to soon simply draw graphs by inspection.

 

[nightweaver066]

Some notes that i uploaded a few weeks ago.

Not mine.

http://www.mediafire.com/?rivl13qdl6yjopt

 

[D94]

Determine:
1. Vertical Asymptotes
2. Horizontal Asymptotes
3. Oblique Asymptotes
4. x and y intercepts
5. Left hand and right hand limits for the Vertical Asymptotes
6. Check if function crosses an asymptotic line

Then sketch. 4U sketching questions usually don't require calculus, but there are the odd questions which require you to determine the max/mins etc.

 

[zhiying]

Some notes that i uploaded a few weeks ago.

Not mine.

http://www.mediafire.com/?rivl13qdl6yjopt

hey thats mine LOL, but thanks for putting it into a pdf lmao

 

[nightweaver066]

hey thats mine LOL, but thanks for putting it into a pdf lmao

LOL they're pretty good. Thanks for sharing them

 

[zhiying]

np, the old thread probably got buried and it had notes on other stuff too, i ll prob upload them again later

 

[SpiralFlex]

Here are a few posts I did last year that may or may not assist you.


http://community.boredofstudies.org/showthread.php?t=274864

http://community.boredofstudies.org/showthread.php?t=276283&highlight=curve+sketching

[HR][/HR]
Unfortunately at my ripe old age (17.5), I have no energy nor time to make posts like that anymore.

 

[mirakon]

There are also curve sketching notes in year 12 chit chat thread

 

[JohnMaximus]

hey thats mine LOL, but thanks for putting it into a pdf lmao

Awesome notes, best layout I've ever seen outside an actual math textbook. (Saved them)

PS: I think you made a mistake on the x+sinx example for f(x)+g(x).