How do you determine if the equation #y = 2(3)^x# represents exponential growth or decay?

1 Answer
Alan N.
Jul 17, 2017

#y# represents exponential growth.

Explanation:

#y=2*(3)^x#

Here we have a constant #(2)# scaling a constant #(3)# raised to the power of positive #x#

Since the exponent is positive #x# determines that #y# represents exponential growth for increasing #x#

This can be seen by the graph of #y# below.

graph{2*(3)^x [-10.86, 14.45, -2.73, 9.94]}

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