He will guide you He will guide you through the through the exciting world of exciting world of Egyptian Graph Egyptian Graph Dancing!Dancing!

This is Anubis.This is Anubis.

y = x 3

How do we do…?How do we do…?

““Right arm up, Right arm up, left arm down…”left arm down…”

y = x 3

What about this?What about this?

y = 2x 3

““Right arm Right arm higher, left arm higher, left arm lower…”lower…”

y = ¼ x 3

How would you How would you do this one?do this one?

““Both arms Both arms flatter…”flatter…”

Can we do this one?Can we do this one?

y = (x + 1)3

So what would this be?So what would this be?

y = (x - 1)3

And finally…And finally…

y = -x3

So, let’s put it all together!So, let’s put it all together!

Are you ready?Are you ready?Let’s go!Let’s go!yy = = x x 33yy = 2 = 2x x 33yy = = ½ ½ x x 33yy = = 55x x 33Keeping up so far?Keeping up so far?Think fast!Think fast!yy = = xx 33yy = ( = (xx + 1) + 1)33yy = ( = (xx + 2) + 2)33yy = ( = (xx + 5) + 5)33yy = = x x 33yy = ( = (x x – 1)– 1)33yy = ( = (x x – 5)– 5)33yy = ( = (x x + 5)+ 5)33yy = - = -x x 33yy = 10 = 10x x 33yy = -( = -(x x + 1+ 1))33And stop!And stop!Still alive?Still alive?I’m impressed…I’m impressed…Here comes the final Here comes the final

challenge!challenge!Use your brains…Use your brains…yy = = || xx 33 ||Did you get it?Did you get it?Well done!Well done!

y = e x

How do we do…?How do we do…?

y = e x

““Right arm up Right arm up high, left arm to high, left arm to the side…”the side…”

Are you ready?Are you ready?No?No?I’m not going to I’m not going to

tell you everything!tell you everything!Just think Just think

carefully…carefully…Don’t worry, it Don’t worry, it

starts easy!starts easy!yy = e = e xxyy = 5e = 5e xxyy = -e = -e xxyy = e = e x x + 5+ 5yy = e = e x x - 5- 5yy = 5 - e = 5 - e xxGood job!Good job!Now it gets a bit Now it gets a bit

trickier!trickier!yy = e = e xx + e + e xxyy = e = e -x-xyy = -e = -e -x-xyy = e = e ||xx||yy = e = e xx e e xxyy = e = e 33xx e e -5-5xxAnd you’re done!And you’re done!

y = log x

How do we do…?How do we do…?

y = log x

““Right arm goes Right arm goes flat, left arm flat, left arm points down…”points down…”

I hope you I hope you remember your remember your

log rules…log rules…

……because you’re because you’re going to need them!going to need them!

But I suppose we But I suppose we should start easy.should start easy.yy = log = log xxyy = 5log = 5log xxyy = = ½ ½ log log xxNow the gloves Now the gloves

come off!come off!yy = log ( = log (xx22))yy = log ( = log (11//xx))