Math Problem Statement
Write the domain and range of the function using interval notation.
Solution
Let's analyze the graph to determine the domain and range in interval notation.
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Domain (x-values):
- The graph starts at and continues to the right towards infinity.
- Therefore, the domain is:
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Range (y-values):
- The y-values start at and increase as the function goes up.
- The range is:
So, the answer is:
- Domain:
- Range:
Would you like more details on how interval notation is applied here or have other questions?
Here are five additional questions that could help you explore further:
- How does interval notation represent open and closed intervals?
- What is the significance of including or excluding endpoints in interval notation?
- How can you determine the domain and range of different types of functions?
- How does domain and range change when transformations are applied to functions?
- How would the domain and range look for a function that decreases to negative infinity?
Tip: In interval notation, brackets indicate that an endpoint is included (closed interval), while parentheses (( \ )) indicate that it is excluded (open interval).
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Math Problem Analysis
Mathematical Concepts
Domain and Range
Interval Notation
Functions
Formulas
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Theorems
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Suitable Grade Level
Grades 8-10