Exponential Functions and Their Values

The video tutorial explains how to graph exponential functions, starting with an introduction to their components, such as the initial value and multiplier. It provides examples of graphing both increasing and decreasing exponential functions, including those with different exponents like x-1. The tutorial emphasizes the importance of understanding the constant factor and how it affects the graph's shape. The video concludes with a summary of the key points covered.

What is the initial value in the function g(x) = 2 * 3^x?

• 2

• 3

• 6

• 0

In the function g(x) = 2 * 3^x, what role does the number 3 play?

• Exponent

• Initial value

• Multiplier

• Constant

In the function g(x) = 2 * 3^x, what is the value of g(0)?

• 3

• 2

• 0

• 6

How do you determine the zeroth term in an exponential function?

• By setting x to 1

• By adding the initial value to the multiplier

• By multiplying the initial value by the multiplier

• By setting x to 0

What is the value of g(1) in the function g(x) = 2 * 3^x?

• 9

• 3

• 6

• 2

In the function g(x) = 2 * 3^x, what is the value of g(2)?

• 12

• 6

• 18

• 24

What happens to the value of g(x) = 2 * 3^x as x increases?

• It oscillates

• It increases

• It remains constant

• It decreases

What is the value of g(3) in the function g(x) = 2 * 3^x?

• 72

• 18

• 36

• 54

In the function g(x) = 2 * 3^x, what is the value of g(4)?

• 108

• 162

• 216

• 54

What is the behavior of the graph of g(x) = 2 * 3^x?

• Logarithmic

• Quadratic

• Linear

• Exponential