# Rate of Change of a Function Represented by a Table of Values - Examples, Exercises and Solutions

The rate of change of a function represented by a table of values allows us to compare the variation of the values of $X$ (the independent variable of the function) with the variation of the values of $Y$ (dependent variable of the function). This comparison enables us to determine if the intervals are fixed or not, and, consequently, if the rate of change is constant or not.

## Examples with solutions for Rate of Change of a Function Represented by a Table of Values

### 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

constant

### Exercise #6

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

Uniform

### Exercise #7

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

Non-uniform

### Exercise #8

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

Non-uniform

### Exercise #9

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

Non-uniform

### Exercise #10

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

Uniform

### Exercise #11

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

Uniform

### Exercise #12

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

Uniform

### Exercise #13

Given a table showing points on the edge of the function, determine whether the rate of change is uniform or not.

Uniform

### Exercise #14

Given a table showing points on the graph of a function, determine whether or not the rate of change is uniform.

Non-uniform

### Exercise #15

Given a table showing points on the graph of a function, determine whether or not the rate of change is uniform.