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# Hard Maths Questions- sketching graphs watch

1. Hey guys, Ive drawn these graphs online to see what they look like but don't understand why they look like that... Could you explain to me how you would know how to draw them w/out a graphical calc..

a) y=cos(x^2)

b) xlnx = ln(x^x)

c) sin(1/x)

d) 1/(1-x^x)

e)e^(x^2)

THANKS!!!
x
2. (Original post by alpha_4)
Hey guys, Ive drawn these graphs online to see what they look like but don't understand why they look like that... Could you explain to me how you would know how to draw them w/out a graphical calc..

...

THANKS!!!
x
Just try to think what would happen if you were to sub positive and negative x values. And then try to think about big values and small values..that always gives me an idea...also think about transformations and asymptotes
obv subbin 0 for x or y is also verrry helpful (when necessary)

EDit: knowing how basic functions look like is...obviously...essential

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Updated: December 12, 2010
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