Math Problem Statement
What is the range of the function?
Solution
To solve this problem, let's break it down:
We are asked to find the range of the function shown by the graph. The range of a function refers to the set of all possible y-values (outputs) that the function can take.
Step-by-step analysis:
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Axes Understanding:
- The x-axis represents the distance from a central point, while the y-axis represents the drone's height above the ground in meters.
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Graph Points:
- From the graph, we can observe that:
- The lowest point on the graph is at (the drone is at ground level).
- The highest point on the graph is at .
- From the graph, we can observe that:
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Range Calculation:
- Since the graph extends from to , the range of the function includes all values from 0 to 4 meters.
Conclusion:
The range of the function is:
Would you like more details or have any questions?
Here are some related questions to explore further:
- What is the domain of the function shown in the graph?
- How would you calculate the average rate of change of the function between two points?
- How do you find the intervals where the function is increasing or decreasing?
- What is the maximum value of the function, and at which x-value does it occur?
- How does the shape of this graph relate to real-world drone flight paths?
Tip: Remember, the range of a function is all the possible y-values, while the domain is the x-values.
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Math Problem Analysis
Mathematical Concepts
Functions
Graph interpretation
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8