Math Problem Statement
Determine the range of the following graph.
Solution
The graph you provided appears to represent a continuous curve. To determine the range of the function, we need to identify the minimum and maximum -values the function takes on.
Observing the Graph:
- The graph reaches its lowest point around .
- The highest point of the graph appears to be around .
Therefore, the range of the graph is the set of all -values between the minimum and maximum. In interval notation, this would be:
Would you like more details on how to read the graph, or do you have any other questions?
Here are 5 related questions to extend your understanding:
- How do we determine the domain of a function based on its graph?
- What is the difference between the range and the domain of a function?
- How can we tell if a function is increasing or decreasing from its graph?
- What is interval notation, and how is it used in expressing domains and ranges?
- How does the graph of a function relate to its algebraic equation?
Tip: Always check the graph carefully to identify key points such as maximums, minimums, and intercepts.
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Math Problem Analysis
Mathematical Concepts
Functions
Range
Graph Interpretation
Interval Notation
Formulas
-
Theorems
Range of a Function
Suitable Grade Level
Grades 9-11