Graph t action. 12 S(x) = -1/-x² Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and t graph-a-function button.
Graph t action. 12 S(x) = -1/-x² Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and t graph-a-function button.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Graphing a Function of the Form f(x) = ax²**
**Function:**
\[ f(x) = \frac{1}{2}x^2 \]
**Instructions:**
Plot five points on the graph of the function. Include one point with \( x = 0 \), two points with negative x-values, and two points with positive x-values using the graph-a-function feature.
**Graph Details:**
The image shows a coordinate plane with the x-axis and y-axis both ranging from -12 to 12. The graph has a grid for precision in plotting.
**Tools Available:**
- **Eraser:** Allows you to remove plotted points or drawings.
- **Pencil/Line Tool:** Helps in drawing curves or lines.
- **Reset/Undo Options:** For clearing the graph or undoing the last action.
**Actions:**
- Use "Explanation" to get more detailed instructions on plotting.
- Click "Check" to see if your plotted points are correct.
This graphing task helps in understanding quadratic functions and their properties, especially how they behave when multiplied by a fractional coefficient like \(\frac{1}{2}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93976936-9bd0-47c5-8a3c-e89a2ab20129%2F5431f75d-00eb-4d41-8fdf-a763034d25c0%2Fcvfut6r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Graphing a Function of the Form f(x) = ax²**
**Function:**
\[ f(x) = \frac{1}{2}x^2 \]
**Instructions:**
Plot five points on the graph of the function. Include one point with \( x = 0 \), two points with negative x-values, and two points with positive x-values using the graph-a-function feature.
**Graph Details:**
The image shows a coordinate plane with the x-axis and y-axis both ranging from -12 to 12. The graph has a grid for precision in plotting.
**Tools Available:**
- **Eraser:** Allows you to remove plotted points or drawings.
- **Pencil/Line Tool:** Helps in drawing curves or lines.
- **Reset/Undo Options:** For clearing the graph or undoing the last action.
**Actions:**
- Use "Explanation" to get more detailed instructions on plotting.
- Click "Check" to see if your plotted points are correct.
This graphing task helps in understanding quadratic functions and their properties, especially how they behave when multiplied by a fractional coefficient like \(\frac{1}{2}\).
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