Math Problem Statement

Determine the range of the following graph.

Solution

To determine the range of the given graph, we analyze the yy-values of the graph.

Observations:

  1. The graph extends vertically from y=4y = -4 (lowest point) to y=2y = 2 (highest point).
  2. The graph appears to include all yy-values within this range without any gaps.
  3. At y=4y = -4, the graph touches a minimum point, and at y=2y = 2, it touches a maximum point.

Range:

The range of the function is: [4,2][-4, 2]

This includes all values from y=4y = -4 to y=2y = 2, inclusive.

Would you like further clarification or detailed steps?

Related Questions:

  1. How is the domain of a graph determined?
  2. What distinguishes the range from the domain?
  3. How can intervals be expressed in set notation versus interval notation?
  4. What tools can be used to analyze continuous versus discrete graphs?
  5. How do turning points affect the range of a graph?

Tip:

When analyzing the range, always check for open or closed circles to determine inclusivity of endpoints.

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Math Problem Analysis

Mathematical Concepts

Graph Analysis
Functions
Range of a Function

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8