Understanding Exponential Growth Functions

This lesson covers exponential growth functions, focusing on the rate of change by examining equal factors over equal intervals. It explains the equation for exponential growth, the role of exponents, and how to graph these functions using tables. The lesson explores functions with different bases, such as 2, 3, and 4, and highlights the rapid increase in values. The key takeaway is understanding that exponential growth involves equal factors over equal intervals, leading to a rapid increase in function values.

What is the equation for an exponential growth function when doubling a population?

Explain the difference between using 'x' as an exponent and 'x' as a base in exponential functions.

Describe the process of graphing an exponential function using a function table.

What happens to the output of an exponential function as the input increases?

How does increasing the value of 'x' by 1 affect the value of 'f of x' in an exponential function?

What is the general formula for exponential growth functions?

How do the factors in exponential growth functions relate to equal intervals?