Identifying Growth and Decay in Exponential Functions

This video tutorial explains how to analyze exponential functions, focusing on identifying whether a function represents growth or decay and determining the percent of increase or decrease. It covers the basic form of exponential functions, the significance of the factor 'b', and provides examples to illustrate exponential growth and decay. The tutorial concludes with a summary and directs viewers to additional resources for further learning.

What is the general form of an exponential function?

• y = a - bx

• y = a / b^x

• y = a * b^x

• y = a + bx

If the factor b is greater than 1, what type of function do we have?

• Linear growth

• Exponential decay

• Exponential growth

• Linear decay

In the function y = 3200 * 1.08^x, what is the percent increase?

• 10%

• 18%

• 80%

• 8%

For the function y = 3200 * 1.08^x, what does the factor 1.08 represent?

• A decrease of 108%

• An increase of 108%

• An increase of 8%

• A decrease of 8%

If a function has a factor of 1.25, what is the percent increase?

• 15%

• 20%

• 25%

• 30%

What is the percent increase for a function with a factor of 1.25?

• 25%

• 30%

• 20%

• 15%

In the function y = 75 * 0.2^x, what is the percent decrease?

• 50%

• 100%

• 80%

• 20%

What does a factor between 0 and 1 indicate in an exponential function?

• Linear growth

• Linear decay

• Exponential decay

• Exponential growth

For the function y = 3219 * 0.92^x, what is the percent decrease?

• 8%

• 12%

• 92%

• 100%

In the function y = 3219 * 0.92^x, what does the factor 0.92 represent?

• An increase of 92%

• An increase of 8%

• A decrease of 8%

• A decrease of 92%