Use the graph of f to find the value f(4). -4 --6 y=f(x) X oo Q f(4)=

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,...
Question

Use the graph of f to find the value 

The task is to use the given graph of the function \( f \) to find the value of \( f(4) \).

**Graph Description:**

- **Axes:** The graph is drawn on a coordinate plane with the x-axis and y-axis. The x-axis is labeled from -6 to 6, while the y-axis is labeled from -6 to 6.
- **Function Plot:** The graph displays a blue sinusoidal wave representing the function \( y = f(x) \).
- **Wave Pattern:** The wave oscillates above and below the x-axis, showing periodic peaks and troughs.
- **Peaks and Troughs:** 
  - Peaks approximately reach +4 on the y-axis.
  - Troughs drop to -3 on the y-axis.
  
**Objective:**

Determine the value of the function \( f(x) \) at \( x = 4 \) by observing where the vertical line \( x = 4 \) intersects the graph of the function. 

At \( x = 4 \), the graph shows that \( f(4) \approx 0 \).

**Conclusion:**

Using the graph, the value of \( f(4) \) is approximately 0. Please input this result in the provided box to verify your answer.
Transcribed Image Text:The task is to use the given graph of the function \( f \) to find the value of \( f(4) \). **Graph Description:** - **Axes:** The graph is drawn on a coordinate plane with the x-axis and y-axis. The x-axis is labeled from -6 to 6, while the y-axis is labeled from -6 to 6. - **Function Plot:** The graph displays a blue sinusoidal wave representing the function \( y = f(x) \). - **Wave Pattern:** The wave oscillates above and below the x-axis, showing periodic peaks and troughs. - **Peaks and Troughs:** - Peaks approximately reach +4 on the y-axis. - Troughs drop to -3 on the y-axis. **Objective:** Determine the value of the function \( f(x) \) at \( x = 4 \) by observing where the vertical line \( x = 4 \) intersects the graph of the function. At \( x = 4 \), the graph shows that \( f(4) \approx 0 \). **Conclusion:** Using the graph, the value of \( f(4) \) is approximately 0. Please input this result in the provided box to verify your answer.
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