Exponential Functions and Their Properties

The video tutorial covers exponential decay, explaining its characteristics and how to identify it. It provides examples to distinguish between exponential growth and decay, and demonstrates graphing techniques using a calculator. The tutorial also addresses negative exponents and their impact on graphing, concluding with a detailed analysis of exponential functions.

What is the main difference between exponential decay and exponential growth functions?

• The use of a graphing calculator

• The presence of a variable X

• The value of B

• The value of A

What is the role of the variable X in an exponential function?

• It acts as the base

• It is the exponent

• It determines the initial value

• It is the asymptote

In an exponential decay function, what should the value of B be?

• Between 0 and 1

• Equal to 1

• Less than 0

• Greater than 1

If B is a fraction greater than 1, what type of function is it?

• Exponential decay

• Exponential growth

• Linear function

• Quadratic function

How do you determine if a function is exponential decay or growth?

• By checking if B is a fraction between 0 and 1

• By checking if X is negative

• By checking if A is positive

• By checking if the graph is linear

What should you do if you encounter a negative exponent in an exponential function?

• Ignore it

• Subtract it from the base

• Convert it to a positive exponent by flipping the fraction

• Add it to the base

How can you identify an exponential growth function from its equation?

• X is negative

• B is a fraction between 0 and 1

• A is less than 0

• B is greater than 1

What is the relationship between the base B and the type of exponential function?

• B determines the initial value

• B determines the rate of growth or decay

• B determines the exponent

• B determines the asymptote

What happens to the graph of an exponential decay function as it moves from left to right?

• It increases

• It decreases

• It oscillates

• It remains constant

What does it mean if the graph of a function is decreasing from left to right?

• The function is linear

• The function is exponential growth

• The function is exponential decay

• The function is quadratic