Question

determine whether the function represents exponential growth or exponential decay.\\( y = 2(4^x) \\)\\( \text{the function represents} \\)\\( \text{select choice} \\)\\( \text{select choice} \\)\\( \text{exponential decay} \\)\\( \text{exponential growth} \\)

Explanation:

Step1: Recall exponential function form

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

Step2: Identify \( a \) and \( b \) in \( y = 2(4^x) \)

Here, \( a = 2 \) (which is \(>0\)) and \( b = 4 \). Since \( 4>1 \), the function follows the exponential growth pattern.

Answer:

exponential growth