Effects of Exponential Function Transformations

The video tutorial explains how to graph exponential growth and decay functions, identify their domain and range, and provides examples for better understanding. It covers the basic equation for exponential functions, the significance of the base number, and how to plot points on a graph. The tutorial also discusses the characteristics of exponential graphs, such as asymptotes and the domain and range, and demonstrates these concepts through practical examples.

What is the basic form of an exponential function?

• f(x) = log(x)

• f(x) = mx + b

• f(x) = ax^2 + bx + c

• f(x) = B^x

How can you identify an exponential growth function?

• The base B is between 0 and 1

• The base B is equal to 1

• The base B is greater than 1

• The base B is less than 0

What is a characteristic point that exponential growth functions pass through?

• (1, 1)

• (0, 0)

• (1, 0)

• (0, 1)

What is the effect of the base B being greater than 1 in an exponential function?

• It results in a linear function

• It results in exponential decay

• It results in exponential growth

• It results in a constant function

What is the general behavior of exponential growth functions as x decreases?

• They approach zero

• They become a straight line

• They increase without bound

• They decrease without bound

What is the effect of transformations on the point (0, 1) in exponential functions?

• It shifts to (0, 0)

• It shifts to (1, 0)

• It remains unchanged

• It shifts to (1, 1)

What is the effect of the base B being a fraction greater than 1 in an exponential function?

• It results in a linear function

• It results in exponential decay

• It is not defined

• It results in exponential growth

What is the effect of the base B being a whole number in an exponential function?

• It is not defined

• It results in exponential decay

• It results in a linear function

• It results in exponential growth

What is the effect of the base B being a positive whole number in an exponential function?

• It results in exponential decay

• It results in exponential growth

• It results in a linear function

• It is not defined

What does the graph of an exponential decay function look like?

• It is a horizontal line

• It slopes upward

• It is a straight line

• It slopes downward