Math Problem Statement
Solution
The graph you provided shows a straight line, which extends infinitely in both directions. Based on this information, we can determine the domain and range.
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Domain: The domain of a function refers to all the possible x-values that the function can take. For a straight line like this one, which extends infinitely to the left and right, the domain is all real numbers. This is represented as:
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Range: The range of a function refers to all the possible y-values that the function can produce. Since the line extends infinitely upwards and downwards along the y-axis, the range also includes all real numbers. This is represented as:
In summary:
- Domain:
- Range:
Would you like more details or further clarification? Here are some related questions you might find useful:
- How do you determine the slope of the line from a graph?
- What is the general form of a linear equation?
- How do domain and range differ for different types of functions (e.g., quadratic, exponential)?
- What would the domain and range look like for a vertical or horizontal line?
- Can a function have a limited domain and range, and how would that affect its graph?
Tip: The domain of a linear function is almost always all real numbers, except for special cases like vertical lines where the x-value is fixed.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Coordinate Geometry
Formulas
None needed for the domain and range of a linear function
Theorems
Linear function properties
Suitable Grade Level
Grades 8-10