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How do you write a exponential function y=ab^x whose graph passes through the given points (2,18) and (3,54)?

 Feb 28, 2021
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Given the form of the graph, we notice that this is a parabola, plugging in the two values of x and y, 

$18=ab^2$

$54=ab^3$

sikving the system of two equations, we earn:

$a=2$

$b=3$
Therefore the graph is

$y=2*3^x$

 Feb 28, 2021

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