Math Problem Statement
Which of the following best represents the range of this function?
Solution
The graph in the image represents a function with clear minimum and maximum values along the y-axis. To determine the range of the function, we observe the vertical span (y-values) of the graph.
- The function reaches its lowest point at .
- The function reaches its highest point at .
Thus, the range of the function is from to , inclusive.
The correct answer is Option D: .
Would you like more details or have any questions?
Here are 5 related questions:
- How do we differentiate between the range and the domain of a function?
- What are the properties of a function’s range?
- Can the range of a function ever be larger than its domain?
- What is the impact of transformations on the range of a function?
- How can we identify the range of more complex functions?
Tip: The range of a function focuses on its vertical extent, while the domain focuses on the horizontal span of the graph.
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Math Problem Analysis
Mathematical Concepts
Range of a Function
Graph Interpretation
Formulas
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Theorems
Range Definition
Suitable Grade Level
Grades 8-10