Math Problem Statement

What is the domain of the linear function shown in the graph?

Solution

The graph shows a linear function. Since the graph is a straight line that extends indefinitely in both directions along the x-axis, the domain of this linear function is not restricted.

The domain of the function is:

<x<orxR\boxed{-\infty < x < \infty} \quad \text{or} \quad \boxed{x \in \mathbb{R}} This means the function is defined for all real numbers.

Would you like more details on how the domain is determined or have any other questions?

Here are 5 related questions:

  1. What is the range of this function?
  2. How do we find the slope of a linear function from its graph?
  3. Can a linear function have a restricted domain?
  4. How do the x-intercept and y-intercept affect the graph of a linear function?
  5. What are some real-life applications of linear functions?

Tip: For linear functions, the domain is typically all real numbers unless the context of the problem restricts it.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Graphing

Formulas

Domain of a linear function: (-∞, ∞)

Theorems

Linear Function Theorem

Suitable Grade Level

Grades 6-8