Math Problem Statement

Determine the range of the following graph.

Solution

The graph you provided appears to represent a continuous curve. To determine the range of the function, we need to identify the minimum and maximum yy-values the function takes on.

Observing the Graph:

  • The graph reaches its lowest point around y=10y = -10.
  • The highest point of the graph appears to be around y=5y = 5.

Therefore, the range of the graph is the set of all yy-values between the minimum and maximum. In interval notation, this would be:

[10,5][-10, 5]

Would you like more details on how to read the graph, or do you have any other questions?

Here are 5 related questions to extend your understanding:

  1. How do we determine the domain of a function based on its graph?
  2. What is the difference between the range and the domain of a function?
  3. How can we tell if a function is increasing or decreasing from its graph?
  4. What is interval notation, and how is it used in expressing domains and ranges?
  5. How does the graph of a function relate to its algebraic equation?

Tip: Always check the graph carefully to identify key points such as maximums, minimums, and intercepts.

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Math Problem Analysis

Mathematical Concepts

Functions
Range
Graph Interpretation
Interval Notation

Formulas

-

Theorems

Range of a Function

Suitable Grade Level

Grades 9-11