Exponential Equations - KSU

Classify the following equation:

$$y\ =\ 3\left(.75\right)^x$$  

Circle the BASE in this equation:

Describe the transformations of the following exponential function:

$$f\left(x\right)\ =\ -0.5\left(3\right)^{\left(x+2\right)}$$  

Draw the asymptote for this exponential equation.

Which of the following represents a bank account with a starting balance of $50 that is growing at 15% each year?

You have 16 grams of radioactive material with a half-life of 1 hour, draw a graph of it.

The population of Mosquitopia shrinks by 10% each year. If there are currently 1200 residents, how many will there be in 5 years?

Briefly describe what is happening in the following equation:

$$f\left(x\right)\ =\ 3000\left(0.95\right)^x$$  

Create your own example of exponential growth or decay and describe it below.