Exponential Funcitons


by JonF
Tags: exponential, funcitons
JonF
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#1
Jun22-04, 04:04 PM
P: 617
I have no idea how to do this problem or where to even start: Find the exponential function f(x) = Ca^x who’s graph is given. The graph has a concave up line, that intersects the y-axis at what looks like (no exact intersection is given) and has the two points (1,6) and (3,24).
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Muzza
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#2
Jun22-04, 04:29 PM
P: 696
That the point (1, 6) lies on the graph means that f(1) = 6. But f(x) = Ca^x, so f(1) = Ca^1 = Ca = 6. You can find a similar equation using the other point. You now have two equations and two unknowns. Can you take it from there?
HallsofIvy
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#3
Jun23-04, 08:54 AM
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However, the graph of y= Cax, passing through (1,6) and (3,24) doesn't cross the y-axis anywhere near 1/2!

Gokul43201
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Jun23-04, 10:57 AM
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Exponential Funcitons


Quote Quote by HallsofIvy
However, the graph of y= Cax, passing through (1,6) and (3,24) doesn't cross the y-axis anywhere near 1/2!
It crosses at y=3/2.
JonF
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#5
Jun23-04, 04:01 PM
P: 617
That helps a lot, thank you. Sorry about the thing, didn’t do a very good job of eyeballing it.


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