Math Problem Statement

Which graph represents a linear function?

Solution

In the provided image, the question asks which graph represents a linear function. Let's analyze each option:

  • Graph A: The curve bends and changes direction, which indicates that it is not a straight line. Therefore, this is not a linear function.

  • Graph B: This graph shows a straight line that moves diagonally, which is characteristic of a linear function. Therefore, this represents a linear function.

  • Graph C: This is an ellipse, and an ellipse is not a linear function as it is a closed curve, not a straight line.

  • 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:

  1. What is the general form of a linear function equation?
  2. How can you tell if a function is linear from its equation?
  3. What is the difference between linear and non-linear functions?
  4. How do you calculate the slope of a linear function?
  5. 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