Math Problem Statement

Find the domain and range for the graph.

Solution

The graph you provided shows a straight line, which extends infinitely in both directions. Based on this information, we can determine the domain and range.

  • Domain: The domain of a function refers to all the possible x-values that the function can take. For a straight line like this one, which extends infinitely to the left and right, the domain is all real numbers. This is represented as: Domain=(,)\text{Domain} = (-\infty, \infty)

  • Range: The range of a function refers to all the possible y-values that the function can produce. Since the line extends infinitely upwards and downwards along the y-axis, the range also includes all real numbers. This is represented as: Range=(,)\text{Range} = (-\infty, \infty)

In summary:

  • Domain: (,)(-\infty, \infty)
  • Range: (,)(-\infty, \infty)

Would you like more details or further clarification? Here are some related questions you might find useful:

  1. How do you determine the slope of the line from a graph?
  2. What is the general form of a linear equation?
  3. How do domain and range differ for different types of functions (e.g., quadratic, exponential)?
  4. What would the domain and range look like for a vertical or horizontal line?
  5. Can a function have a limited domain and range, and how would that affect its graph?

Tip: The domain of a linear function is almost always all real numbers, except for special cases like vertical lines where the x-value is fixed.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Coordinate Geometry

Formulas

None needed for the domain and range of a linear function

Theorems

Linear function properties

Suitable Grade Level

Grades 8-10