# Variable Rate of Change

🏆Practice variation of a function

Variable Rate of Change

The meaning of a variable rate of change of a function can be seen when the variables $X$ change in fixed proportions and the $Y$ change unevenly.

A variable rate of change is represented by a line that is not straight, as seen in the following diagram:

## Test yourself on variation of a function!

Given the following graph, determine whether function is constant

## How can the variable rate of change of a function be identified?

For example, if the constant interval of the $X$ is $2$ and that of the $Y$ is not constant and varies from time to time.
An inconsistent interval could be:
$1,3,7,13$
If the function is not represented with a straight graph, it means that the rate of change is not constant.
Each part of the function will have a different rate of change, a different slope.

### Graph of the Variable Rate of Change

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### Table of the Variable Rate of Change

Table representation of a function with a non-constant rate of change

### Graph of the stepwise non-constant rate of change

If you are interested in this article, you might also be interested in the following articles:

Rate of change of a function

Rate of change of a function represented graphically

Rate of change of a function represented by a table of values

Constant rate of change

Rate of change represented with steps in the function's graph

In the blog of Tutorela you will find a variety of articles with interesting explanations about mathematics

## Examples and exercises with solutions of variable rate of change

### Exercise #1

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Let's remember that if the function is not a straight line, its rate of change is not uniform.

Since the graph is not a straight line - the rate of change is not uniform.

Non-uniform

### Exercise #2

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Let's remember that if the function is not a straight line, its rate of change is not uniform.

Since the graph is not a straight line - the rate of change is not uniform.

Non-uniform

### Exercise #3

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Let's remember that if the function is not a straight line, its rate of change is not uniform.

Since the graph is not a straight line - the rate of change is not uniform.

Non-uniform

### Exercise #4

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Remember that if the function is a straight line, its rate of change will be constant.

Since the graph is a straight line - the rate of change is constant.

Uniform

### Exercise #5

Given the following graph, determine whether function is constant