Growth or Decay
Identify the function as either an exponential growth or an exponential decay. To check, graph the function using Desmos .
- \(f(x)=8(1/3)^x\)
- \(f(x)=8(1.1)^x\)
- \(f(x)=8^x\)
- \(f(x)=\bigg(\dfrac{1}{5}\bigg)^x\)
- \(f(x)=2(3.5)^x\)
- Thinking about the multiplier in exponential functions: \(f(x) = ar^x\), where \(r\) is the multiplier. How do you determine whether the function is growth or decay?
- In considering what you now know about linear and exponential growth, going back to the bank problem, which do you think will grow faster?
