Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (5 points)
f(x) = 9.8 ⋅ 1.03x

exponential growth function; 103%

exponential growth function; 0.03%

exponential growth function; 3%

exponential decay function; 103%

Step-by-step explanation:

The given function is

There are two expressions to indicate growth and decay, each equation is written like this:

In this case, the given function is an exponential growth function, because 1.03>1. Therefore, the given function expresses decay.

The initial value of the function is when x = 0. Replacing initial value, we have:; which means that 9.8 is the initial value.

Also, the growing factor is 1.03, because is the base. In addition, the percentage rate of growth is given by:

Then, , which is a 3%.

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step-by-step explanation: