Math Problem Statement
The range of the graph below is (-2, 2).
Solution
The question is asking whether the range of the graph shown is .
To solve this:
The range of a graph refers to the set of all possible y-values that the graph covers.
- From the image, the graph has points and lines that span from to .
- The lowest y-value is (not ).
- The highest y-value is , which is included.
Thus, the range of the graph is , not .
Answer:
The statement is False.
Would you like more details or have any other questions?
Here are five related questions for further exploration:
- What is the domain of this graph?
- How do you find the range of a function from its graph?
- Can the range of a function include only discrete points?
- What is the difference between the domain and range of a function?
- How would the range change if the graph shifted upwards by 2 units?
Tip: To determine the range, always focus on the y-axis and look at the lowest and highest points the graph reaches.
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Math Problem Analysis
Mathematical Concepts
Graphing Functions
Range of a Function
Formulas
-
Theorems
Range Theorem
Suitable Grade Level
Grades 6-8