Math Problem Statement

What is the domain of this function based on the graph?

Solution

The image you uploaded displays a graph of a linear function. The question asks for the domain of the function, which refers to all the possible values of xx (the input values) that are valid for the function.

From the graph, the function appears to be defined over a specific range along the xx-axis. The line starts around x=4x = -4 and ends around x=4x = 4, which suggests that the domain is limited between these two points. Hence, the domain of the function would be the closed interval:

4x4-4 \leq x \leq 4

This is the correct domain of the function as it corresponds to the range where the function is defined on the graph.

Do you need further explanation on how domains are determined or any other details?

5 related questions:

  1. What is the range of this function based on the graph?
  2. How do you find the slope of a line given its graph?
  3. What does it mean when a function has a restricted domain?
  4. Can a linear function ever have a domain that is not all real numbers?
  5. How does the domain of a function differ from its range?

Tip:

When determining the domain from a graph, always check the extent of the xx-axis values where the graph is present or defined.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations
Graphing
Domain

Formulas

Domain of a function: The set of all possible x-values (input values) for which the function is defined.

Theorems

A function's domain is determined by the set of all x-values that yield a valid y-value on the graph.

Suitable Grade Level

Grades 8-10