Step Graphs Worksheet
Explore step graphs, their properties, and real-world applications with this Grade 11 math worksheet. Practice interpreting and creating step graphs.
Includes
Standards
Topics
Step Graphs Worksheet
Name:
Date:
Score:
Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Define what a step graph is and provide an example of a real-world scenario where a step graph would be an appropriate representation of data.
2. The graph below shows the cost of shipping a package based on its weight. Use the graph to answer the following questions.
a) What is the cost to ship a package that weighs exactly 2 kg?
b) What is the cost to ship a package that weighs 3.5 kg?
c) If a customer paid $10 for shipping, what is the possible range of weights for their package?
3. Complete the following statements about step graphs:
a) A step graph is characterized by its segments, which represent a constant value over an interval.
b) The points at which the graph 'jumps' from one constant value to another are called .
c) An open circle on a step graph indicates that the endpoint is in the interval, while a closed circle indicates it is .
4. Which of the following functions would most likely be represented by a step graph?
The height of a growing plant over time.
The temperature of water as it boils.
The cost of a taxi ride based on the distance traveled, where the fare increases at fixed distance intervals.
The speed of a car accelerating uniformly.
5. A local parking garage charges the following rates:
- Up to 1 hour: $3.00 - Over 1 hour up to 2 hours: $5.00 - Over 2 hours up to 4 hours: $8.00 - Over 4 hours up to 6 hours: $12.00
Create a step graph to represent the parking cost as a function of time parked (in hours). Label your axes clearly.
6. Explain the concept of discontinuity in the context of a step graph. What do the open and closed circles signify at these points of discontinuity?
Related Worksheets
Scatter Plot Association Worksheet
Grade 11 Math worksheet focusing on understanding and interpreting scatter plot associations, including correlation and causation.
Histogram Interpretation Worksheet
A Grade 11 math worksheet focused on interpreting and analyzing histograms, including identifying distribution types, calculating measures of central tendency, and understanding frequency.
Graph Features Analysis
Analyze and identify key features of various graphs including domain, range, intercepts, and intervals of increase/decrease.
Graphing Ordered Pairs
This worksheet focuses on graphing ordered pairs in various quadrants of the coordinate plane, suitable for Grade 11 math students.
Grade 11 Math: Histograms
This worksheet focuses on understanding, interpreting, and constructing histograms, including frequency and relative frequency histograms, for Grade 11 math students.
Coordinate Points on a Plane
Explore and practice identifying, plotting, and analyzing coordinate points on a Cartesian plane.
Coordinate Points on a Plane
Explore and practice identifying, plotting, and analyzing coordinate points on a Cartesian plane.
Key Features of Graphs Worksheet
Explore and identify key features of various functions from their graphs, including domain, range, intercepts, and intervals of increase/decrease.