Grade 9 Step Graphs Worksheet

Step Graphs: Understanding Discontinuous Functions

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. In your own words, describe what a step graph is and provide an example of a real-world scenario where a step graph would be used.

The graph below shows the cost of mailing a letter based on its weight. Use the graph to answer the following questions.

2. What is the cost of mailing a letter that weighs 0.75 ounces?

3. If a letter costs $1.50 to mail, what is the range of possible weights for the letter?

4. Step graphs are characterized by their   nature, meaning the function's value jumps from one level to another.

5. The open circles on a step graph indicate that the point is   in that interval, while closed circles indicate the point is  .

6. A parking garage charges $5 for the first hour or any part thereof, and an additional $3 for each subsequent hour or part thereof, up to a maximum of 4 hours. Create a step graph to represent the parking cost.

Label your axes appropriately.

7. A step graph is always a continuous function.

8. The greatest integer function (floor function) is an example of a step graph.