Math Problem Statement

Determine the range of the following graph:

Solution

The graph in the image shows a curve with a general "S" shape. To determine the range of the function represented by this graph, we need to look at the minimum and maximum yy-values that the curve reaches.

  • Highest Point: The graph reaches a maximum yy-value of y=8y = 8.
  • Lowest Point: The graph reaches a minimum yy-value of y=11y = -11.

Since the graph is continuous and covers all values between these two points, the range of the function is:

[11,8]\boxed{[-11, 8]}

Would you like more details or have any questions?

Related Questions:

  1. How do you find the domain of a graph?
  2. What is the difference between range and domain in a function?
  3. How do you determine if a function is increasing or decreasing from its graph?
  4. How do you identify turning points of a graph?
  5. How can you determine symmetry in a graph?

Tip: Always ensure that you check both ends of the graph to find the complete range and domain of a function.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Functions
Range
Graph Analysis

Formulas

None (Graph observation-based)

Theorems

None (Graph observation-based)

Suitable Grade Level

Grades 9-11