Select Exponential growth or Exponential decay for each function.

f (x) = (1.023) ⋅ 3^x

f (x) = 3 ⋅ (0.072) ^x

f (x) = 4 ⋅ (0.035) ^x

f (x) = 2 ⋅ (1.34) ^x

Question

Mathematics

Ferguson

18 December, 14:01

Select Exponential growth or Exponential decay for each function.

f (x) = (1.023) ⋅ 3^x

f (x) = 3 ⋅ (0.072) ^x

f (x) = 4 ⋅ (0.035) ^x

f (x) = 2 ⋅ (1.34) ^x

+5

Answers (1)

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Jared Luna · Answer 1

f (x) = (1.023) ⋅ 3^x Growth

f (x) = 3 ⋅ (0.072) ^x Decay

f (x) = 4 ⋅ (0.035) ^x Decay

f (x) = 2 ⋅ (1.34) ^x Growth

Step-by-step explanation:

An exponential function at its heart has a base number of rate. If the rate is less than 1, then the function decays. If the base number or rate is greater than 1, then the function grows and increase.

f (x) = (1.023) ⋅ 3^x Rate 3 - Growth

f (x) = 3 ⋅ (0.072) ^x Rate 0.072 - Decay

f (x) = 4 ⋅ (0.035) ^x Rate 0.035 - Decay

f (x) = 2 ⋅ (1.34) ^x Rate 1.34 - Growth

Select Exponential growth or Exponential decay for each function.f (x) = (1.023) ⋅ 3^xf (x) = 3 ⋅ (0.072) ^xf (x) = 4 ⋅ (0.035) ^xf (x) = 2 ⋅ (1.34) ^x

Select Exponential growth or Exponential decay for each function.

f (x) = (1.023) ⋅ 3^x

f (x) = 3 ⋅ (0.072) ^x

f (x) = 4 ⋅ (0.035) ^x

f (x) = 2 ⋅ (1.34) ^x