Math Problem Statement
what is the domain of the graphed relation?
Solution
The graph shows a linear function on a Cartesian plane, with -axis (horizontal) and -axis (vertical), ranging from to in both directions.
Identifying the domain:
The domain of a relation refers to the set of all possible -values (input values) for which the function is defined.
In this case, the line continues infinitely in both the left and right directions (towards negative and positive -values), indicating that the graph extends indefinitely along the -axis.
Conclusion:
The domain of this linear relation is: or, equivalently, "all real numbers."
Would you like to discuss further details or have any additional questions?
Here are 5 related questions for deeper exploration:
- What is the range of the graphed relation?
- What is the slope of the line in the graph?
- How would you express the equation of this line in slope-intercept form?
- Can the relation be expressed as a function, and why?
- How would you determine the intercepts of the line?
Tip: The domain of a function is closely tied to the type of function you're working with. For example, linear functions usually have a domain of all real numbers unless there are restrictions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Domain and Range
Linear Equations
Formulas
General form of a linear equation: y = mx + b
Theorems
The domain of linear functions is all real numbers unless restricted
Suitable Grade Level
Grades 8-10