Grade 9 Step Graphs Worksheet
This worksheet focuses on understanding and interpreting step graphs, including identifying key features and creating step graphs from given data.
Includes
Standards
Topics
Step Graphs: Understanding Discontinuous Functions
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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?
$0.50
$1.00
$1.50
$2.00
3. If a letter costs $1.50 to mail, what is the range of possible weights for the letter?
0 < weight ≤ 1 ounce
1 < weight ≤ 2 ounces
2 < weight ≤ 3 ounces
3 < weight ≤ 4 ounces
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.
True
False
8. The greatest integer function (floor function) is an example of a step graph.
True
False