Math Problem Statement

what is the domain of the graphed relation?

What is the domain of the graphed relation?

Solution

The graph shows a linear function on a Cartesian plane, with xx-axis (horizontal) and yy-axis (vertical), ranging from 10-10 to 1010 in both directions.

Identifying the domain:

The domain of a relation refers to the set of all possible xx-values (input values) for which the function is defined.

In this case, the line continues infinitely in both the left and right directions (towards negative and positive xx-values), indicating that the graph extends indefinitely along the xx-axis.

Conclusion:

The domain of this linear relation is: Domain: (,)\text{Domain: } (-\infty, \infty) or, equivalently, "all real numbers."

Would you like to discuss further details or have any additional questions?

Here are 5 related questions for deeper exploration:

  1. What is the range of the graphed relation?
  2. What is the slope of the line in the graph?
  3. How would you express the equation of this line in slope-intercept form?
  4. Can the relation be expressed as a function, and why?
  5. How would you determine the intercepts of the line?

Tip: The domain of a function is closely tied to the type of function you're working with. For example, linear functions usually have a domain of all real numbers unless there are restrictions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Domain and Range
Linear Equations

Formulas

General form of a linear equation: y = mx + b

Theorems

The domain of linear functions is all real numbers unless restricted

Suitable Grade Level

Grades 8-10