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labwork [276]
2 years ago
5

True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.

Mathematics
1 answer:
nekit [7.7K]2 years ago
7 0

Hi there!

\large\boxed{\text{False.}}

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

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