Math Problem Statement

Determine the range of the following graph:

Solution

To determine the range of the graph in the image, we need to identify the minimum and maximum values of yy that the graph reaches.

Upon analyzing the graph:

  • The lowest point on the graph appears to be at y=5y = -5.
  • The highest point on the graph is at y=8y = 8.

Thus, the range of the graph is: Range=[5,8]\text{Range} = [-5, 8]

Would you like more details on this or have any further questions?

Here are five related questions to deepen your understanding:

  1. What does the domain of a graph represent?
  2. How do you determine the domain of this graph?
  3. What are some examples of functions with different ranges?
  4. How would the range change if the graph shifted upwards by 3 units?
  5. What is the relationship between the range and the vertical asymptotes of a function?

Tip: When determining the range of a function, always look for the highest and lowest points on the graph.

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Math Problem Analysis

Mathematical Concepts

Graph Analysis
Range of a Function

Formulas

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Theorems

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Suitable Grade Level

Grades 9-11