Grade 12 Math: Step Graphs
This worksheet focuses on understanding and interpreting step graphs, including their properties, applications, and how to construct them from given data.
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Grade 12 Math: Step Graphs
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Read each question carefully and provide your answers in the spaces provided. Show all your work for full credit.
1. Define what a step graph is and provide a real-world example of its application.
2. A step graph is characterized by its segments, which represent a constant value over an interval.
3. The points where the graph 'jumps' from one constant value to another are called .
4. The cost of a taxi ride is $3.00 for the first mile and $2.00 for each additional mile or fraction thereof. Which type of graph would best represent this cost structure?
Linear graph
Quadratic graph
Step graph
Exponential graph
5. Graph the function f(x) = floor(x) for the domain [-3, 3].
6. Consider a step graph representing the cost of mailing a letter, where the cost increases at specific weight intervals. If the cost is $0.50 for up to 1 oz, $0.75 for over 1 oz up to 2 oz, and $1.00 for over 2 oz up to 3 oz, what is the cost of mailing a letter weighing 1.5 oz?