Decay Factors in Exponential Functions

The video tutorial explains exponential functions, focusing on identifying growth and decay factors using graphs and tables. It demonstrates how to build a table from a graph and calculate the growth factor by observing the multiplication of Y values as X increases. The tutorial then shifts to decay factors, explaining how to use division to find the decay factor from table data, emphasizing that growth factors are greater than 1, while decay factors are fractions less than 1.

What is the primary focus of exponential functions?

• Linear growth

• Growth and decay factors

• Trigonometric functions

• Quadratic equations

What can be used as an alternative to graphs for analyzing exponential functions?

• Diagrams

• Tables

• Lists

• Charts

Which of the following is a point identified on the graph?

• 0, 4

• 3, 5

• 2, 6

• 1, 3

How do you determine the growth factor from a table?

• By dividing the Y values

• By multiplying the Y values

• By subtracting the Y values

• By adding the X values

What is the growth factor if the Y values are 1, 2, 4, and 8?

• 3

• 4

• 2

• 1

What is the growth factor if the Y values double as X increases by 1?

• 1

• 2

• 3

• 4

What indicates a decay factor in exponential functions?

• A number greater than 1

• A negative number

• A number equal to 1

• A fraction less than 1

Which point is used to start the decay analysis?

• 1, 5

• 2, 7

• 0, 9

• 3, 8

How is the decay factor calculated?

• By subtracting the X values

• By multiplying the X values

• By adding the Y values

• By dividing the Y values

What is the decay factor if the Y values are 9, 6, and 4?

• 1/2

• 3/4

• 2/3

• 1/3