curve sketching (1 Viewer)

[john-doe]

how would u transform y=f(x) to the graph of y=e^[f(x)] e.g. 2003 hsc q3 (a)(iv) thanks

 

[john-doe]

bump

 

[umm what]

put up the question mate

 

[nightweaver066]

From the paper

 

[john-doe]

From the paper

yeh so how would u transform it to e^[f(x)]

 

[U MAD BRO]

yeh so how would u transform it to e^[f(x)]

sub values of f(x) into e^[f(x)]

 

[nightweaver066]

yeh so how would u transform it to e^[f(x)]

As x-> 1+, f(x) -> -infinity, e^[f(x)] -> 0+

As x-> +infinity, f(x) -> 0-, e^[f(x)] -> 1-

As x-> 1-, f(x) -> +infinity, e^[f(x)] -> +infinity

At f(x) = 2, e^[f(x)] = e^2

etc.

Basically break it up and use what you know about exponentials to get the general shape of the graph and sketch.