Math Problem Statement
determine the range of the graph
Determine the range of the graph
Solution
The range of a graph refers to the set of all possible output values (y-values) of the function.
From the given graph:
- The highest point (maximum y-value) appears to be at approximately .
- The lowest point (minimum y-value) appears to be at approximately .
Therefore, the range of the graph is:
This indicates that the function's y-values span from -8 to 2, inclusive.
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Related Questions:
- What is the domain of this graph?
- How can you determine critical points from this graph?
- What are the x-intercepts of the graph?
- What is the symmetry of this function, if any?
- How could the range change if the graph were shifted?
Tip: To confirm range, check extreme values of y on the graph (highest and lowest points).
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Math Problem Analysis
Mathematical Concepts
Graphing
Range of a function
Formulas
Range: Minimum y-value ≤ y ≤ Maximum y-value
Theorems
Basic definition of the range of a function
Suitable Grade Level
Grades 8-10