How do you determine if the equation #f(x) = 7(1/4)^x# represents exponential growth or decay?

1 Answer
SCooke
Dec 16, 2017

Observe the direction as 'x' is increased.

Explanation:

A growth function will have increasing #f(x)# values. A decay function will have decreasing ones. A simple substitution of two values should be enough.
#f(x) = 7 xx(1/4)^x#

For x = 0, #f(x) = 7#

For x = 1, #f(x) = 7/4#

For x = 2, #f(x) = 7/16#

Definitely a decaying trend!

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