Math Problem Statement

Determine the range of the following graph:

Solution

To determine the range of the given graph, we need to look at the minimum and maximum values of yy, the dependent variable.

From the graph:

  • The lowest point (minimum value of yy) is approximately at y=10y = -10.
  • The highest point (maximum value of yy) is approximately at y=2y = 2.

Thus, the range of the function is:

[10,2]\boxed{[-10, 2]}

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

  1. What is the domain of the graph (the possible xx-values)?
  2. How do we determine if the function is continuous over its domain?
  3. Could the graph represent a polynomial function? If so, what could its degree be?
  4. How can you tell whether the function has any asymptotes from the graph?
  5. How can we approximate the zeros (roots) of the function from this graph?

Tip: When finding the range of a function, always focus on the minimum and maximum points along the yy-axis.

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Math Problem Analysis

Mathematical Concepts

Range of a function
Graph interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 8-10