# Which Functions Have an Additive Rate of Change of 3?

When studying mathematics, one of the most important aspects to understand is the rate of change of a function. The rate of change of a function is defined as the rate at which the output of a function changes with respect to the input. For example, if the output of a function is increasing at a rate of 3 for every unit increase in the input, then the rate of change of the function is 3. In mathematics, there are several functions which have an additive rate of change of 3.

## Linear Functions

One of the most common functions which have an additive rate of change of 3 are linear functions. A linear function is defined as a function in which the output is directly proportional to the input. Therefore, if the input is increased by one unit, the output will increase by three units. This relationship can be represented in the equation y = 3x, where x is the input and y is the output. This equation can be graphically represented as a straight line, with a slope of 3.

## Exponential Functions

Another type of function which has an additive rate of change of 3 is an exponential function. An exponential function is defined as a function in which the output increases by a fixed amount for each unit increase in the input. This type of function can be represented in the equation y = 3x^2, where x is the input and y is the output. This equation can be graphically represented as a parabola, with a slope of 3.