# Variation of a Function - Examples, Exercises and Solutions

Rate of change represented by steps in the function graph

We can draw stairs on the graph of the function to see the rate of change.
The base of the step will represent the interval in the $X$ variables and the height will symbolize the interval in the $Y$.

The step will mark the "jump" from $X$ in relation to the "jump" in $Y$.
The bases of the steps will always be the same since we always choose fixed intervals in $X$.

• If the heights of the steps are increasing, it means that the rate of change is increasing.
• If the heights of the steps are decreasing, it means that the rate of change is decreasing.
• If the heights of the steps do not change, it means that the rate of change is constant.

## Practice Variation of a Function

### Exercise #1

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

Uniform

### Exercise #2

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

Non-uniform

### Exercise #3

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

Non-uniform

### Exercise #4

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

Uniform

### Exercise #5

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

Uniform

### Exercise #1

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

Uniform

### Exercise #2

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

Non-uniform

### Exercise #3

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

Non-uniform

### Exercise #4

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

Non-uniform

### Exercise #5

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

Non-uniform

### Exercise #1

Given the following graph, determine whether function is constant

constant

### Exercise #2

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

Uniform

### Exercise #3

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

Uniform

### Exercise #4

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

Non-uniform

### Exercise #5

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