Graphing Exponential Parent Functions

This video tutorial introduces the concept of exponential functions, focusing on graphing the functions 2^x and (1/2)^x. It explains how to set up a table of values to plot these functions and discusses the domain and range of exponential functions. The video also covers the concept of asymptotes, particularly the horizontal asymptote, and how it relates to the graph of an exponential function. By the end of the video, viewers will understand how to graph exponential functions and determine their domain and range.

What is the defining characteristic of an exponential function?

• The variable is in the base.

• The variable is in the exponent.

• The variable is in the denominator.

• The variable is in the coefficient.

What is the value of 2 raised to the power of 1?

• 0

• 4

• 2

• 1

What is the value of 2 raised to the power of 0?

• 1

• 4

• 2

• 0

What does a negative exponent indicate?

• Subtraction

• Reciprocal

• Addition

• Multiplication

What is the domain of the exponential function with base 2?

• All real numbers

• All negative numbers

• All positive numbers

• All integers

What is the range of the exponential function with base 2?

• All real numbers

• All positive numbers

• All negative numbers

• All integers

What is an asymptote?

• A line that the graph never touches

• A line that the graph crosses

• A point on the graph

• A curve on the graph

What is the asymptote for the exponential function with base 2?

• x = 1

• y = 0

• x = 0

• y = 1

What is the value of 1/2 raised to the power of 1?

• 2

• 1/4

• 1/2

• 1

What is the value of 1/2 raised to the power of 0?

• 1/2

• 2

• 0

• 1