Math Problem Statement
Solution
In the provided image, the question asks which graph represents a linear function. Let's analyze each option:
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Graph A: The curve bends and changes direction, which indicates that it is not a straight line. Therefore, this is not a linear function.
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Graph B: This graph shows a straight line that moves diagonally, which is characteristic of a linear function. Therefore, this represents a linear function.
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Graph C: This is an ellipse, and an ellipse is not a linear function as it is a closed curve, not a straight line.
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Graph D: The curve is non-linear, as it bends. This is also not a linear function.
Thus, Graph B represents a linear function.
Would you like more details on linear functions or any other specific graph?
Here are some related questions:
- What is the general form of a linear function equation?
- How can you tell if a function is linear from its equation?
- What is the difference between linear and non-linear functions?
- How do you calculate the slope of a linear function?
- What are some real-world examples of linear functions?
Tip: Linear functions always produce straight lines when graphed!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Graphing
Formulas
Linear function: y = mx + b
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 8-10