Math Problem Statement
Determine the range of the following graph.
Solution
To determine the range of the graph, we need to observe the values that the function takes along the y-axis.
From the image:
- The highest point (maximum) on the graph appears to be around .
- The lowest point (minimum) on the graph seems to be around .
Therefore, the range of the function, which describes the set of all possible -values that the graph can attain, is:
This means the graph covers all -values between and , inclusive.
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Relative Questions:
- How is the domain of a function related to its range?
- What is the significance of the maximum and minimum points on a graph?
- How can you tell if a graph has any asymptotes by looking at it?
- What are some ways to calculate the range algebraically if the equation is known?
- How does the range of a quadratic function compare to this graph's range?
Tip:
When determining the range, always scan the graph from the lowest point to the highest point on the y-axis to ensure no values are missed.
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Math Problem Analysis
Mathematical Concepts
Algebra
Graphing
Range of Functions
Formulas
-
Theorems
Range of a Function
Suitable Grade Level
Grades 9-11