Math Problem Statement

What is the domain and range of this graph

Solution

The graph you've uploaded shows a straight line, which is a typical linear function. To determine the domain and range, we analyze the behavior of the line.

Domain:

The domain of a function is the set of all possible input values (x-values) that the function can accept. For a straight line extending infinitely in both directions, the domain is all real numbers because there's no restriction on the x-values.

  • Domain: (,)(-\infty, \infty) or all real numbers.

Range:

The range of a function is the set of all possible output values (y-values). Similar to the domain, for a straight line extending infinitely, the range is also all real numbers because the line covers all possible y-values.

  • Range: (,)(-\infty, \infty) or all real numbers.

Thus, for the graph shown, both the domain and the range are all real numbers.

Would you like further details or have any questions?

Here are some related questions:

  1. How do you determine the slope of the line from a graph?
  2. What is the equation of the line shown in the graph?
  3. How do domain and range change for different types of functions (e.g., quadratic, exponential)?
  4. What would the graph look like if the domain was restricted?
  5. How can you find the intercepts of the line shown?

Tip: For any linear function, the domain and range are always all real numbers unless there are specific restrictions provided.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Functions
Domain and Range

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12