Exploring Domain & Range of Exponential Functions

What does the horizontal asymptote represent in the graph of an exponential function?

• The value that the function approaches but never touches

• The maximum value the function can reach

• The slope of the function

• The minimum x-value of the function

What is the domain of any exponential function?

• All negative numbers

• All positive numbers

• All real numbers

• Only integers

Why can't the range of the discussed exponential function include zero?

• Because the function values are always less than zero

• Because the function values are always greater than zero

• Because the function crosses the y-axis at zero

• Because zero is the horizontal asymptote

If the horizontal asymptote is at y = -9, what is the range of the function?

• y > -9

• y < -9

• y = -9

• y >= -9

What is the range of an exponential function with a horizontal asymptote at y = 3?

• y < 3

• y >= 3

• y > 3

• y = 3

What term describes the set of all possible x-values for a function?

• Coefficient

• Domain

• Range

• Intercept

Which of the following is true about the domain of exponential functions?

• Includes only positive numbers

• Excludes negative numbers

• Is limited to integers

• Includes all real numbers

What does the range of a function refer to?

• The minimum value of y

• The set of all possible y-values

• The maximum value of y

• The set of all possible x-values

What is the significance of a horizontal asymptote in determining the range?

• It is the maximum value the function can reach

• It indicates where the function starts

• It is the value that the function approaches but never reaches

• It determines the slope of the function

In the context of exponential functions, what does 'all real numbers' signify?

• The horizontal asymptote of the function

• The domain of the function

• The maximum value of the function

• The range of the function