Math Problem Statement

Write the domain of the function using interval notation.

Solution

The image shows a graph of a function on a coordinate plane. The graph is a straight line that starts from an approximate point of (5,4)(-5, 4) and moves downward to a point around (1,4)(1, -4). Since the instructions indicate that the graph continues infinitely in both directions if no endpoints are visible, we assume the line extends forever to the left and right.

Finding the Domain

The domain of a function is the set of all possible xx-values for which the function is defined. Since the line extends infinitely in both directions horizontally, the xx-values also cover all real numbers.

Therefore, the domain in interval notation is:

(,)(-\infty, \infty)

Would you like further details or have any questions?

Related Questions:

  1. What is the range of this function?
  2. How would the domain change if there were endpoints visible on the graph?
  3. How do you find the slope of a line given two points?
  4. What is interval notation, and how is it used in mathematics?
  5. How do you determine the domain for different types of functions, such as quadratic or exponential functions?

Tip:

When analyzing graphs, always check for visible endpoints or arrows that indicate the direction of continuation to determine the domain and range accurately.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing
Domain
Interval Notation

Formulas

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Theorems

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Suitable Grade Level

Grades 7-10