Math Problem Statement
Determine the range of the following graph.
Solution
To determine the range of the given graph, we analyze the -values of the graph.
Observations:
- The graph extends vertically from (lowest point) to (highest point).
- The graph appears to include all -values within this range without any gaps.
- At , the graph touches a minimum point, and at , it touches a maximum point.
Range:
The range of the function is:
This includes all values from to , inclusive.
Would you like further clarification or detailed steps?
Related Questions:
- How is the domain of a graph determined?
- What distinguishes the range from the domain?
- How can intervals be expressed in set notation versus interval notation?
- What tools can be used to analyze continuous versus discrete graphs?
- How do turning points affect the range of a graph?
Tip:
When analyzing the range, always check for open or closed circles to determine inclusivity of endpoints.
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Math Problem Analysis
Mathematical Concepts
Graph Analysis
Functions
Range of a Function
Formulas
-
Theorems
-
Suitable Grade Level
Grades 6-8