Exponential Functions and Their Properties

The video tutorial explains how to graph exponential functions of the form y = B^x, where B is a constant like 2, 3, or 10. It demonstrates graphing these functions by calculating values for positive and negative exponents and highlights the common features of these graphs, such as the asymptote at y = 0 and the point (0, 1). The tutorial compares the graphs of y = 2^x, y = 3^x, and y = 10^x, showing their similarities and differences in growth rates and steepness.

What is the base constant in an exponential function?

• A variable

• A constant number

• A negative number

• A fraction

What is the value of 2^0?

• 1

• 0

• 2

• Undefined

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

• It becomes undefined

• It becomes a fraction

• It becomes negative

• It becomes zero

What is the value of 2^3?

• 12

• 9

• 8

• 6

What is the asymptote of the graph of y = 2^x?

• x = 1

• y = 0

• x = 0

• y = 1

How does the graph of y = 3^x compare to y = 2^x?

• It is higher

• It is inverted

• It is lower

• It is the same

What is the value of 3^2?

• 3

• 12

• 9

• 6

What is the value of 3^0?

• 1

• 0

• 9

• 3

What is the value of 3^-1?

• 1/3

• 3

• 9

• 1

What is a common point for both y = 2^x and y = 3^x?

• (1, 0)

• (0, 1)

• (1, 1)

• (0, 0)