parisbrooks51 parisbrooks51
  • 25-05-2021
  • Mathematics
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True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.

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leena
leena leena
  • 25-05-2021

Hi there!

[tex]\large\boxed{\text{False.}}[/tex]

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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