Math Problem Statement
Determine the domain and range of the graph, which shows a straight line extending from (-8, -5) to (8, 7).
Solution
The image shows a straight line on a graph. To determine the domain and range of this line:
1. Domain: The domain refers to all possible x-values (horizontal axis) the graph covers.
- The graph stretches from on the left to on the right.
- Therefore, the domain is .
2. Range: The range refers to all possible y-values (vertical axis) the graph covers.
- The graph extends vertically from at the bottom to at the top.
- Hence, the range is .
Answer:
- Domain:
- Range:
Would you like more details or explanations?
Here are 5 related questions to extend your understanding:
- How can you identify the slope of a line from a graph like this?
- What would the equation of the line be in slope-intercept form?
- How do changes in the slope affect the domain and range of a line?
- How can you determine the intercepts of a line from a graph?
- How would the domain and range change if the line extended indefinitely?
Tip: Always check for any restrictions (like arrows) on the graph when determining the domain and range, as they might indicate the line extends beyond the visible area.
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Math Problem Analysis
Mathematical Concepts
Algebra
Graphing Functions
Linear Functions
Formulas
Domain and Range Definitions
Theorems
Linear Function Theorem
Suitable Grade Level
Grades 7-9