Exponential Functions and Their Properties

This video tutorial covers exponential functions, explaining their form and properties. It discusses exponential growth and decay, how to find y-intercepts, and graphing techniques using tables. The video also explores identifying exponential behavior in data sets, contrasting it with linear behavior.

What is the general form of an exponential function?

• y = a * B^X

• y = a + B^X

• y = a * X^B

• y = a / B^X

In an exponential function, what happens when the base B is greater than 1?

• The function decreases

• The function remains constant

• The function increases

• The function oscillates

What is the effect of a negative coefficient on the graph of an exponential function?

• The graph remains unchanged

• The graph shifts upwards

• The graph flips vertically

• The graph shifts to the right

How do you find the y-intercept of an exponential function?

• Set y to 1

• Set x to 0

• Set x to 1

• Set y to 0

What is the y-intercept of the function y = (1/10)^X?

• 100

• 10

• 1

• 0

In the function y = (1/10)^X, what happens as X becomes more negative?

• The function approaches infinity

• The function approaches zero

• The function oscillates

• The function remains constant

What is the y-intercept of the function y = 3^X?

• 0

• 1

• 3

• 9

In the function y = 3^X, what happens as X increases?

• The function decreases

• The function oscillates

• The function remains constant

• The function increases rapidly

Which of the following best describes exponential growth?

• A rapid increase over time

• A slow increase over time

• A decrease over time

• A constant rate of increase

What is a real-world example of exponential growth?

• Decreasing bank interest

• Linear population growth

• Bacteria multiplying

• Constant speed travel