Math Problem Statement

Which of the following best represents the range of this function?

Solution

The graph in the image represents a function with clear minimum and maximum values along the y-axis. To determine the range of the function, we observe the vertical span (y-values) of the graph.

  • The function reaches its lowest point at y=4y = -4.
  • The function reaches its highest point at y=4y = 4.

Thus, the range of the function is from 4-4 to 44, inclusive.

The correct answer is Option D: 4y4-4 \leq y \leq 4.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do we differentiate between the range and the domain of a function?
  2. What are the properties of a function’s range?
  3. Can the range of a function ever be larger than its domain?
  4. What is the impact of transformations on the range of a function?
  5. How can we identify the range of more complex functions?

Tip: The range of a function focuses on its vertical extent, while the domain focuses on the horizontal span of the graph.

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Math Problem Analysis

Mathematical Concepts

Range of a Function
Graph Interpretation

Formulas

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Theorems

Range Definition

Suitable Grade Level

Grades 8-10