Exponential Functions Growth and Decay

The video tutorial explains how to determine the rate of exponential growth or decay in a graph. It begins by describing the characteristics of exponential functions, emphasizing that growth rates are always positive and decay rates are between 0 and 1. The tutorial further explains that a decay rate of 0.5 means the value is halved each time. It then identifies the graph in question as representing growth, as it moves upwards, and concludes by selecting the correct answers from given options.

What is the first step Jinto should take before calculating the exponential rate?

• Select an option randomly

• Ignore the graph and use a formula

• Identify characteristics of growth or decay

• Calculate the exact rate immediately

What is true about the rate of exponential functions?

• They can be negative

• They are always zero

• They are always positive

• They can be any real number

Why can't the rate of an exponential function be negative?

• Because it would mean the function is linear

• Because it would mean the function is constant

• Because it would mean the function is quadratic

• Because it would imply a non-existent scenario

What does a decay rate of 0.5 signify?

• The value increases by 0.5

• The value halves each time

• The value remains constant

• The value doubles each time

What range does a decay rate fall into?

• Greater than one

• Between zero and one

• Exactly one

• Less than negative one

Which of the following is a characteristic of a growth factor?

• It is less than one

• It is negative

• It is exactly zero

• It is greater than one

If a function is moving upwards, what does it indicate?

• The function is decaying

• The function is undefined

• The function is constant

• The function is growing

What is the implication of a growth factor being greater than one?

• The value decreases over time

• The value becomes zero

• The value remains unchanged

• The value increases over time