Question

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

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

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