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Questions and Answers
What is the average rate of change (AROC) between X=-5 and X=3?
What is the average rate of change (AROC) between X=-5 and X=3?
-3/8
What is the average rate of change (AROC) between X=-4 and X=3?
What is the average rate of change (AROC) between X=-4 and X=3?
1/7
What is the average rate of change (AROC) between X=-1 and X=5?
What is the average rate of change (AROC) between X=-1 and X=5?
-18
What is the average rate of change (AROC) between X=-3 and X=1?
What is the average rate of change (AROC) between X=-3 and X=1?
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What is the average rate of change (AROC) between X=0 and X=3?
What is the average rate of change (AROC) between X=0 and X=3?
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What is the average rate of change (AROC) between X=-6 and X=4?
What is the average rate of change (AROC) between X=-6 and X=4?
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What is the average rate of change (AROC) between X=0 and X=10?
What is the average rate of change (AROC) between X=0 and X=10?
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The average rate of change (AROC) between X=0 and X=__?
The average rate of change (AROC) between X=0 and X=__?
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Study Notes
Average Rate of Change (AROC)
- AROC measures the change in a function's value over a specific interval in relation to the change in the input values.
- Calculated by the formula: AROC = (f(b) - f(a)) / (b - a), where a and b are the interval bounds.
Specific Average Rates of Change Examples
- For X = -5 to X = 3: AROC is -3/8.
- For X = -4 to X = 3: AROC is 1/7.
- For X = -1 to X = 5: AROC is -18.
- For X = -3 to X = 1: AROC is 5/4.
- For X = 0 to X = 3: AROC is 2/3.
- For X = -6 to X = 4: AROC is -1/2.
- For X = 0 to X = 10: AROC is 3/10.
Key Takeaways
- AROC values can be positive or negative, indicating intervals of increase or decrease in the function.
- Understanding AROC is essential for analyzing linear and nonlinear functions in Algebra 2.
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