Understanding Growth Factors in Functions

The video tutorial explains how to determine if a function represents growth or decay by analyzing its components. The function p = 300 * 1.05^T is used as an example, where 300 is the initial value and 1.05 is the growth factor. Since the growth factor is greater than one, the function is identified as a growth function. The tutorial emphasizes understanding the significance of the growth factor in determining the nature of the function.

What is the initial value in the function p = 300 * 1.05^T?

• Growth factor

• 1.05

• 300

• T

What does a growth factor greater than one indicate about a function?

• The function is undefined

• The function is growing

• The function is constant

• The function is decaying

In the function p = 300 * 1.05^T, what is the growth factor?

• 0.95

• 1.05

• T

• 300

If the growth factor was less than one, what would the function represent?

• Growth

• Decay

• Stability

• Oscillation

What conclusion can be drawn about the function p = 300 * 1.05^T?

• It represents decay

• It represents growth

• It is constant

• It is undefined