Math Problem Statement

The range of the graph below is (-2, 2).

Solution

The question is asking whether the range of the graph shown is (2,2)(-2, 2).

To solve this:

The range of a graph refers to the set of all possible y-values that the graph covers.

  • From the image, the graph has points and lines that span from y=3y = -3 to y=2y = 2.
  • The lowest y-value is 3-3 (not 2-2).
  • The highest y-value is 22, which is included.

Thus, the range of the graph is [3,2][-3, 2], not (2,2)(-2, 2).

Answer:

The statement is False.

Would you like more details or have any other questions?

Here are five related questions for further exploration:

  1. What is the domain of this graph?
  2. How do you find the range of a function from its graph?
  3. Can the range of a function include only discrete points?
  4. What is the difference between the domain and range of a function?
  5. How would the range change if the graph shifted upwards by 2 units?

Tip: To determine the range, always focus on the y-axis and look at the lowest and highest points the graph reaches.

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Math Problem Analysis

Mathematical Concepts

Graphing Functions
Range of a Function

Formulas

-

Theorems

Range Theorem

Suitable Grade Level

Grades 6-8