Understanding Exponential Functions

This video is part of a series on graphing parent functions, focusing on exponential functions. It explains the concept of exponential functions, specifically graphing y = 2^x, and demonstrates how to create a table of values for graphing. The video covers both positive and negative exponents, highlighting the steep increase for positive values and the asymptotic behavior for negative values. It concludes with a discussion on the domain and range of exponential functions, emphasizing that the domain is all real numbers while the range is greater than zero.

What is the main focus of this video series?

• Graphing parent functions

• Graphing quadratic functions

• Graphing logarithmic functions

• Graphing linear functions

In an exponential function, where is the variable located?

• In the base

• In the exponent

• In the coefficient

• In the constant term

What is the base in the function y = 2^x?

• x

• 2

• y

• 1

What is the value of y when x is 0 in the function y = 2^x?

• 0

• 1

• 2

• 4

What is the y-value when x equals 3 in the function y = 2^x?

• 4

• 6

• 8

• 10

What is the y-value when x equals 1 in the function y = 2^x?

• 2

• 3

• 4

• 1

How does the graph behave as x increases in the function y = 2^x?

• It decreases

• It remains constant

• It increases steeply

• It oscillates

What is the y-value when x equals 4 in the function y = 2^x?

• 16

• 12

• 20

• 8

What happens to the graph of y = 2^x when x is negative?

• It remains constant

• It increases towards infinity

• It becomes a straight line

• It decreases towards zero

What is the value of y when x is -1 in the function y = 2^x?

• 1

• 0.5

• 2

• 4