Math Problem Statement

determine the range of the graph

Determine the range of the graph

Solution

The range of a graph refers to the set of all possible output values (y-values) of the function.

From the given graph:

  1. The highest point (maximum y-value) appears to be at approximately y=2y = 2.
  2. The lowest point (minimum y-value) appears to be at approximately y=8y = -8.

Therefore, the range of the graph is: [8,2][-8, 2]

This indicates that the function's y-values span from -8 to 2, inclusive.

Would you like further details or clarification?

Related Questions:

  1. What is the domain of this graph?
  2. How can you determine critical points from this graph?
  3. What are the x-intercepts of the graph?
  4. What is the symmetry of this function, if any?
  5. How could the range change if the graph were shifted?

Tip: To confirm range, check extreme values of y on the graph (highest and lowest points).

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Math Problem Analysis

Mathematical Concepts

Graphing
Range of a function

Formulas

Range: Minimum y-value ≤ y ≤ Maximum y-value

Theorems

Basic definition of the range of a function

Suitable Grade Level

Grades 8-10