Additive rate of change is an important concept in mathematics, used to determine the rate at which a function changes over a set period of time. It is a measure of how much a function increases or decreases over a given interval. In this article, we look at which functions have an additive rate of change of 3.
Definition of Additive Rate of Change
Additive rate of change is a measure of how much a function increases or decreases over a given interval. It is calculated by taking the difference between the starting and ending values of a function, and dividing it by the time elapsed. The result is the additive rate of change, or the rate at which a function changes over time.
Examples of Functions with Additive Rate of Change of 3
- Linear Functions: A linear function is a function whose graph is a straight line. Linear functions have an additive rate of change of 3 when the slope of the line is 3.
- Exponential Functions: An exponential function is a function whose graph is a curved line. Exponential functions have an additive rate of change of 3 when the rate of change is 3 times the original value.
In conclusion, linear functions and exponential functions both have an additive rate of change of 3 when the slope of the line or the rate of change is 3 times the original value, respectively. Understanding the concept of additive rate of change is essential for understanding how functions change over time.