Math Problem Statement

Determine the range of the following graph.

Solution

The graph provided shows a function with values on the y-axis ranging from y=11y = -11 to y=4y = 4. To determine the range, we need to identify the minimum and maximum values of yy for the graph. Based on the image:

  • The minimum value of the graph is y=11y = -11.
  • The maximum value of the graph is y=4y = 4.

Thus, the range of the function is [11,4][-11, 4], meaning the function takes values between -11 and 4, inclusive.

Would you like more details or have any specific questions?

Here are 5 related questions:

  1. How do you determine the range of a function from its graph?
  2. Can the range of a function ever be infinite?
  3. How is the domain of a function related to its range?
  4. What are the possible differences between the range of polynomial functions and trigonometric functions?
  5. How would the graph change if the range were extended to [15,6][ -15, 6 ]?

Tip: To find the range, always look for the highest and lowest points of the graph along the y-axis.

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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 9-12