Math Problem Statement
Solution
To find the range of the linear function, let's analyze the graph you provided.
The graph shows a line that is part of a linear function. The key point to note is that the line is moving downwards from left to right, which indicates a negative slope. Since it's a linear function, the line will continue indefinitely in both directions.
In a linear function like this, the range represents all possible -values that the function can take. Since the line extends infinitely in both upward and downward directions along the y-axis, the range of this function is:
In other words, the line will cover all real numbers for the -values.
Would you like more details or have any other questions?
Here are some related questions:
- How do we find the slope of the line from the graph?
- How would you write the equation of this line?
- What is the domain of a linear function?
- What happens if the line is vertical—how does that change the range?
- Can a linear function ever have a limited range?
Tip: For any linear function, unless the line is horizontal, the range will always be all real numbers .
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Range of a Function
Formulas
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Theorems
A linear function's range typically covers all real numbers unless the line is horizontal.
Suitable Grade Level
Grades 9-10