a. Open Desmos and explore different exponential equations, such as y=2^x, y=0.5^x, y=3^x and y=0.3^x. Play around with changing the base and the coefficients.

b. As you graph these functions, pay attention to the shapes. What do you notice about the characteristics of exponential growth versus exponential decay? How do the different bases affect the steepness and direction of the curves?

c. Think of a real-world scenario where exponential growth or decay occurs. This could be anything from population growth, investment growth, the spread of a virus, or the decay of a radioactive substance. Clearly state whether your example represents growth or decay and explain why.

d. After you post your observations and example, be sure to reply to at least two of your classmates. Share your thoughts on their scenarios and how they relate to the concepts of growth or decay.