Math Problem Statement

Determine the range of the following graph.

Solution

To determine the range of the graph, we need to observe the values that the function takes along the y-axis.

From the image:

  • The highest point (maximum) on the graph appears to be around y=9y = 9.
  • The lowest point (minimum) on the graph seems to be around y=10y = -10.

Therefore, the range of the function, which describes the set of all possible yy-values that the graph can attain, is: [10,9][-10, 9]

This means the graph covers all yy-values between 10-10 and 99, inclusive.

Do you have any questions or would you like further details?

Relative Questions:

  1. How is the domain of a function related to its range?
  2. What is the significance of the maximum and minimum points on a graph?
  3. How can you tell if a graph has any asymptotes by looking at it?
  4. What are some ways to calculate the range algebraically if the equation is known?
  5. How does the range of a quadratic function compare to this graph's range?

Tip:

When determining the range, always scan the graph from the lowest point to the highest point on the y-axis to ensure no values are missed.

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Math Problem Analysis

Mathematical Concepts

Algebra
Graphing
Range of Functions

Formulas

-

Theorems

Range of a Function

Suitable Grade Level

Grades 9-11