Math Problem Statement

For the following relation, provide the domain and range.

domain [A,B] Range [C,D]

For the following relation, provide the domain and range. Domain [A,B] Range [C,D]

Solution

From the graph, we can observe the following:

  1. Domain: The domain represents all the x-values for which the graph exists. From the image, the graph spans horizontally from x=4x = -4 to x=2x = 2. Therefore, the domain is: Domain=[4,2]\text{Domain} = [-4, 2]

  2. Range: The range represents all the y-values the graph attains. From the image, the graph vertically spans from y=3y = -3 to y=3y = 3. Therefore, the range is: Range=[3,3]\text{Range} = [-3, 3]

Thus, the domain is [4,2][-4, 2] and the range is [3,3][-3, 3].

Would you like further clarification, or do you have any specific questions?

Relative Questions:

  1. How can we determine the symmetry of this function from the graph?
  2. What type of function could this be (e.g., polynomial, sinusoidal)?
  3. How can we identify the maximum and minimum points from the graph?
  4. What is the significance of the zeroes or intercepts of the graph?
  5. How could transformations such as shifts or stretches affect the graph?

Tip: When analyzing the graph of a function, always check the endpoints for the domain and observe the highest and lowest points to find the range.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Interpretation

Formulas

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Theorems

Domain and Range of a Function

Suitable Grade Level

Grades 8-10