Graphing Exponential Functions

The video tutorial covers graphing exponential functions by creating tables and plotting points. It begins with an introduction to the concept, followed by detailed steps to create a table for graphing. The tutorial then demonstrates how to plot points and graph the function, emphasizing the importance of understanding the curve's shape. An example using computer mapping software illustrates the practical application of exponential functions. The tutorial concludes with a summary of the graphing process and encourages students to practice matching x-values with their graphs.

What is the result of 2 to the power of -2?

• 1/4

• 1/2

• 4

• 2

What is the y-value when x is 0 for the function 3 * 2^x?

• 6

• 12

• 3

• 1

How many points are typically used by the teacher for hand graphing non-linear functions?

• Two

• Three

• Five

• Ten

Why is it important to use more than two points for graphing non-linear functions?

• To make it easier

• To use less paper

• To understand the shape

• To save time

What is the significance of the y-axis in graphing?

• Represents value

• Represents cost

• Represents quantity

• Represents time

What does the function f(x) = 100 * 0.25^x model in the context of computer mapping software?

• Data usage

• Zoom level percentage

• Screen resolution

• Number of users

What is the y-value when x is 1 for the function 100 * 0.25^x?

• 100

• 50

• 12.5

• 25

What is the y-value when x is 2 for the function 100 * 0.25^x?

• 25

• 50

• 6.25

• 12.5

How does the y-value change as x increases in the function 100 * 0.25^x?

• Remains constant

• Becomes negative

• Increases

• Decreases

What does a point at (0, 100) signify in the context of the zoom function graph?

• No zoom applied

• Maximum zoom out

• Maximum zoom in

• Halfway zoomed in