Understanding Exponential Functions

The video tutorial reviews the characteristics of exponential functions, including their x-intercepts, y-intercepts, asymptotes, end behavior, and how to determine if they are increasing or decreasing. It also covers the domain and range of these functions and analyzes a second function with different parameters.

What is the general form of an exponential function?

• y = a/x

• y = a * b^x

• y = ax^2 + bx + c

• y = mx + b

What is the x-intercept of an exponential function?

• There is no x-intercept

• It depends on the base of the function

• It is always at x = 0

• It is always at x = 1

What is the y-intercept of an exponential function with a base of 9?

• 9

• Depends on the exponent

• 1

• 0

How do you determine if an exponential function is increasing or decreasing?

• By looking at the exponent

• By looking at the base

• By looking at the y-intercept

• By looking at the x-intercept

What is the end behavior of all exponential functions?

• They approach the y-axis

• They move between quadrants 1 and 4

• They are always above the x-axis

• They move between quadrants 2 and 3

What is the domain of an exponential function?

• x is greater than 0

• x is less than 0

• x is a real number

• x is an integer

What is the range of an exponential function?

• y is a real number

• y is less than 0

• y is greater than 0

• y is an integer

What is the equation of the asymptote for an exponential function?

• y = x

• x = y

• y = 0

• x = 0

If the base of an exponential function is greater than 1, what can be said about the function?

• It has no y-intercept

• It has no asymptote

• It is an increasing function

• It is a decreasing function

For an exponential function with a base of 1/2, what is the y-intercept?

• 2

• 1

• 0

• 1/2