**Exercise: Determine the Range of the Following Graph** This exercise is about determining the range of a function based on its graphical representation. **Graph Description:** - **Axes**: The graph displays the Cartesian coordinate plane. The x-axis and y-axis both scale from -12 to 12. - **Function**: The plotted function is a curve that fluctuates through several peaks and troughs. - **Key Points and Shape**: - The function starts near the top of the y-axis, descends, moves upward, and then sharply drops again before rising once more. This creates a series of waves. - The graph’s highest point is just below y = 11, and its lowest point is about y = -11. - The curve appears continuous, with a turning point evident at the lower center portion of the graph. To determine the range of the graph, analyze these peaks and valleys as they represent the effective y-values that the function spans. The range is from the minimum y-value to the maximum y-value the function achieves. **Range Example**: Based on visual inspection, estimate the range by using the highest and lowest points the curve attains on the y-axis.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Exercise: Determine the Range of the Following Graph**

This exercise is about determining the range of a function based on its graphical representation.

**Graph Description:**

- **Axes**: The graph displays the Cartesian coordinate plane. The x-axis and y-axis both scale from -12 to 12.
- **Function**: The plotted function is a curve that fluctuates through several peaks and troughs.
- **Key Points and Shape**: 
  - The function starts near the top of the y-axis, descends, moves upward, and then sharply drops again before rising once more. This creates a series of waves.
  - The graph’s highest point is just below y = 11, and its lowest point is about y = -11.
  - The curve appears continuous, with a turning point evident at the lower center portion of the graph.

To determine the range of the graph, analyze these peaks and valleys as they represent the effective y-values that the function spans. The range is from the minimum y-value to the maximum y-value the function achieves.

**Range Example**: Based on visual inspection, estimate the range by using the highest and lowest points the curve attains on the y-axis.
Transcribed Image Text:**Exercise: Determine the Range of the Following Graph** This exercise is about determining the range of a function based on its graphical representation. **Graph Description:** - **Axes**: The graph displays the Cartesian coordinate plane. The x-axis and y-axis both scale from -12 to 12. - **Function**: The plotted function is a curve that fluctuates through several peaks and troughs. - **Key Points and Shape**: - The function starts near the top of the y-axis, descends, moves upward, and then sharply drops again before rising once more. This creates a series of waves. - The graph’s highest point is just below y = 11, and its lowest point is about y = -11. - The curve appears continuous, with a turning point evident at the lower center portion of the graph. To determine the range of the graph, analyze these peaks and valleys as they represent the effective y-values that the function spans. The range is from the minimum y-value to the maximum y-value the function achieves. **Range Example**: Based on visual inspection, estimate the range by using the highest and lowest points the curve attains on the y-axis.
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