Rex S.
asked • 04/09/18A complicated polynomial graph ;y=3e^x-2
I am studying for a pre-calc. final. I am stuck on the question y=3e^x-2. I have gotten the answer through desmos but am struggling to solve the problem on my own. Any help appreciated, thank you.
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1 Expert Answer
Bobosharif S. answered • 04/09/18
Tutor
4.4
(32)
PhD in Math, MS's in Calulus
If you can draw the graph of y=ex, you should not have difficulties with y=3ex-2. Basically, this is the same as ex just multiplied by 3 and shifted by 2.
x |ex |3ex-2|
0 | 1 |1 |
1 | e |3e-2 |
....
Where are you stuck?
Rex S.
I know I am supposed to apply logarithms somewhere in the process but do not know where
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04/09/18
Bobosharif S.
In principle, no need for logarithm. But if you'd like to use logarithm, then you can do following:
y=3ex-2. So (y+2)/3=ex, then log(y+2)-log(3)=x. Does it help?
Once you take log, you will have a different function. logy instead of y.
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04/09/18
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Mark M.
04/09/18