A. Graph the function f(x) = /4+2x using a graphing calculator like desmos.com . find x when f(x) = 6, then follow the steps below to show the intersection graph on the computer. [Hint: Use the following window on your graphing calculator: Xmin = -4, Xmax = 18, Ymin = -10, Ymax = 10] 1. Write the point of intersection as an ordered pair below. Round the value of æ to two decimal places. If the point of intersection does not exist, enter DNE 2. Use the Line Tool to draw the Horizontal Line y = 6. 3. Use the Square Root Tool to draw f(x) = V4+ 2x. To draw this function, first plot the point furthest to the left, followed by one more point. 4. Use the Point Tool to identify the point of intersection if it exists. V4+ 2x = 6 Point of Intersection:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve this question. I am really confused on it.

Certainly! Here is a transcription of the educational content provided in the image:

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**Graph the function \( f(x) = \sqrt{4 + 2x} \) using a graphing calculator like desmos.com. Find \( x \) when \( f(x) = 6 \), then follow the steps below to show the intersection graph on the computer. [Hint: Use the following window on your graphing calculator: Xmin = -4, Xmax = 18, Ymin = -10, Ymax = 10]**

1. **Write the point of intersection as an ordered pair below. Round the value of \( x \) to two decimal places. If the point of intersection does not exist, enter \( DNE \).**
   
2. **Use the Line Tool to draw the Horizontal Line \( y = 6 \).**
   
3. **Use the Square Root Tool to draw \( f(x) = \sqrt{4 + 2x} \). To draw this function, first plot the point furthest to the left, followed by one more point.**
   
4. **Use the Point Tool to identify the point of intersection if it exists.**

\[ \sqrt{4 + 2x} = 6 \]

**Point of Intersection:** [ ]

**Graph Details:**

- The graph is a coordinate grid with a range from -4 to 18 on the x-axis and from -10 to 10 on the y-axis.
- **Tools Panel:** Below the graph, there is an option to "Clear All" and icons representing different drawing tools: a line tool, a curve tool, and a point tool.

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This transcription serves as an instructional guide for students learning to graph functions and identify intersections using graphing calculators.
Transcribed Image Text:Certainly! Here is a transcription of the educational content provided in the image: --- **Graph the function \( f(x) = \sqrt{4 + 2x} \) using a graphing calculator like desmos.com. Find \( x \) when \( f(x) = 6 \), then follow the steps below to show the intersection graph on the computer. [Hint: Use the following window on your graphing calculator: Xmin = -4, Xmax = 18, Ymin = -10, Ymax = 10]** 1. **Write the point of intersection as an ordered pair below. Round the value of \( x \) to two decimal places. If the point of intersection does not exist, enter \( DNE \).** 2. **Use the Line Tool to draw the Horizontal Line \( y = 6 \).** 3. **Use the Square Root Tool to draw \( f(x) = \sqrt{4 + 2x} \). To draw this function, first plot the point furthest to the left, followed by one more point.** 4. **Use the Point Tool to identify the point of intersection if it exists.** \[ \sqrt{4 + 2x} = 6 \] **Point of Intersection:** [ ] **Graph Details:** - The graph is a coordinate grid with a range from -4 to 18 on the x-axis and from -10 to 10 on the y-axis. - **Tools Panel:** Below the graph, there is an option to "Clear All" and icons representing different drawing tools: a line tool, a curve tool, and a point tool. --- This transcription serves as an instructional guide for students learning to graph functions and identify intersections using graphing calculators.
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