Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Title: Graphing the First-Octant Portion of the Plane**
**Objective:**
Graph the first-octant portion of the plane described by the equation:
\[ x + y + z = 2 \]
**Instructions:**
Choose the correct graph below that represents the first-octant portion of the plane.
**Options:**
- **A.**
- 3D coordinate axes labeled \(x\), \(y\), and \(z\) with a highlighted region in another location.
- **B.**
- Similar 3D coordinate axes with a different plane orientation.
- **C.**
- 3D coordinate axes labeled \(x\), \(y\), and \(z\). The highlighted region correctly represents the plane segment intersecting the axes at \(x=2\), \(y=2\), and \(z=2\).
- **D.**
- Similar 3D coordinate axes with a different plane orientation.
**Correct Answer:**
Option **C** shows the plane intersecting the \(x\), \(y\), and \(z\) axes correctly within the first octant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a4dff8-7f9e-4127-9d1e-ef0349b76ae2%2Faabdb8b7-41e4-4fd6-a09f-62703e33b2c2%2Fp3v3sea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Graphing the First-Octant Portion of the Plane**
**Objective:**
Graph the first-octant portion of the plane described by the equation:
\[ x + y + z = 2 \]
**Instructions:**
Choose the correct graph below that represents the first-octant portion of the plane.
**Options:**
- **A.**
- 3D coordinate axes labeled \(x\), \(y\), and \(z\) with a highlighted region in another location.
- **B.**
- Similar 3D coordinate axes with a different plane orientation.
- **C.**
- 3D coordinate axes labeled \(x\), \(y\), and \(z\). The highlighted region correctly represents the plane segment intersecting the axes at \(x=2\), \(y=2\), and \(z=2\).
- **D.**
- Similar 3D coordinate axes with a different plane orientation.
**Correct Answer:**
Option **C** shows the plane intersecting the \(x\), \(y\), and \(z\) axes correctly within the first octant.
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