Question

question 2 (2 points) determine whether the function represents exponential growth or exponential decay. $y = 2(1.8)^x$ a exponential growth b exponential decay

Explanation:

Step1: Recall exponential function form

The general form of an exponential function is \( y = a(b)^x \), where \( a>0 \). If \( b > 1 \), it's exponential growth; if \( 0 < b < 1 \), it's exponential decay.

Step2: Identify \( b \) in the given function

In the function \( y = 2(1.8)^x \), \( a = 2 \) and \( b=1.8 \).

Step3: Compare \( b \) with 1

Since \( 1.8>1 \), the function follows exponential growth.

Answer:

a. Exponential Growth