Question

6.4 exponential growth and decay quiz

a growth factor greater than 1 represents exponential growth

true
false

Explanation:

Define exponential growth

Using the Exponential Growth knowledge point
An exponential function is modeled by \(y = a \cdot b^x\), where \(a > 0\) is the initial value and \(b\) is the base. When the quantity increases over time, it represents exponential growth.

Analyze the growth factor

Using the Growth Factor knowledge point
The base \(b\) is the growth factor. For the function to increase as \(x\) increases, the growth factor must satisfy \(b > 1\). If \(0 < b < 1\), it represents decay. Therefore, a growth factor greater than 1 indeed represents exponential growth.

Answer:

• True (Correct answer)
• False