Understanding Exponential Functions Properties

The video tutorial explains how to identify increasing and decreasing exponential functions based on the base value. If the base is greater than one, the function is increasing; if the base is between zero and one, it is decreasing. Reflections can change the nature of the function, making an increasing function decrease and vice versa. The key takeaway is to focus on the base to determine the function's behavior.

What is the main focus when identifying increasing and decreasing exponential functions?

• The slope

• The exponent

• The base

• The y-intercept

If the base of an exponential function is greater than one, what can be said about the function?

• It is decreasing

• It is constant

• It is increasing

• It is undefined

Which of the following is an example of an increasing exponential function?

• y = 1^x

• y = -3^x

• y = 2^x

• y = 0.5^x

What happens to the y-values of an increasing exponential function as x increases?

• They remain constant

• They increase

• They oscillate

• They decrease

What is the range of the base for a decreasing exponential function?

• Greater than one

• Equal to one

• Between zero and one

• Less than zero

Which of the following is an example of a decreasing exponential function?

• y = 1.5^x

• y = 0.8^x

• y = 3^x

• y = 2^x

What is the key factor in determining whether an exponential function is increasing or decreasing?

• The y-intercept

• The base

• The exponent

• The slope

How does a reflection affect an exponential function with a base greater than one?

• It becomes undefined

• It becomes constant

• It remains increasing

• It becomes decreasing

What happens to an exponential function with a base less than one when it is reflected?

• It becomes undefined

• It remains decreasing

• It becomes increasing

• It becomes constant

What is the effect of reflections on the nature of exponential functions?

• They have no effect

• They make the function constant

• They reverse the nature of the function

• They make the function undefined