Question

does the given equation $y = \frac{1}{2}(2)^x$ demonstrate exponential growth or decay? options: both, neither, decay, growth

Explanation:

Step1: Recall exponential form

The standard exponential form is $y = ab^x$, where $a>0$, $b$ is the base.

Step2: Identify base value

For $y=\frac{1}{2}(2)^x$, the base $b=2$.

Step3: Compare base to 1

Since $b=2>1$, the function shows growth.

Answer:

Growth