An additive rate of change is a measure of the rate at which a function increases or decreases over a given interval. It is sometimes referred to as the gradient of a function, and is calculated by taking the difference between two points on the function and dividing it by the change in the independent variable. In this article we will look at which functions have an additive rate of change of 3.
What is an Additive Rate of Change?
An additive rate of change is a measure of the rate at which a function increases or decreases over a given interval. It is sometimes referred to as the gradient of a function, and is calculated by taking the difference between two points on the function and dividing it by the change in the independent variable.
Functions with an Additive Rate of Change of 3
There are several functions which have an additive rate of change of 3. These include linear functions, quadratic functions, and exponential functions.
Linear functions are functions of the form y = mx + c, where m is the gradient or additive rate of change. For a linear function to have an additive rate of change of 3, the value of m must be 3.
Quadratic functions are functions of the form y = ax² + bx + c, where a is the coefficient of the x² term. For a quadratic function to have an additive rate of change of 3, the value of a must be 3.
Exponential functions are functions of the form y = ab^x, where a is the coefficient of the b term. For an exponential function to have an additive rate of change of 3, the value of a must be 3.
In conclusion, there are several functions which have an additive rate of change of 3. These include linear functions, quadratic functions, and exponential functions. All of these functions have a coefficient or gradient of 3, which is what determines the additive rate of change.
