What is the percent rate of change in function y = (0.96)^x? Determine Whether The Function Represents Exponential Growth Or Exponential Decay?
4%, Decay
4%, Growth
0.4%, Growth
0.04%, Decay

Solution:

Given function:

y = (0.96)^x

Exponential functions are in the form y = a^x

If a is positive and is greater than 1, then it is exponential growth.

If a is positive and is less than 1 but greater than 0, then it is exponential decay.

This is in the form of a^x, which is an exponential growth

Let the complete function be (1)^x

The given function is 0.96^x

Percentage change is given as the decrease in the function which is 0.04*100% = 4% decrease

What is the percent rate of change in function y = (0.96)^x? Determine Whether The Function Represents Exponential Growth Or Exponential Decay?

Summary:

The function y = (0.96)^x is exponential growth function with 4% decay.