Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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What is this
The graph displayed above is a visual representation commonly used in mathematics to describe functions and relationships between variables.
- **Description of the Graph:**
- The graph features a parabolic curve that opens upwards.
- The x and y axes are both labeled, with the x-axis representing the horizontal component and the y-axis representing the vertical component.
- The parabola's vertex is located at the origin (0,0).
- The curve is symmetric with respect to the y-axis.
**Options:**
- **A.** linear
- **B.** nonlinear
**Explanation:**
A **linear** graph is depicted by a straight line and represents linear equations of the form y = mx + b. A **nonlinear** graph, on the other hand, is characterized by curves such as parabolas, hyperbolas, circles, etc., representing nonlinear equations. The graph above is a parabola, indicating it is **nonlinear**. Select the correct option accordingly.
**Select the correct answer below:**
- ⚪ A. linear
- ⚪ B. nonlinear](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F413f6f9e-a8cd-4691-9dca-f6bd06e62b66%2F511e4c86-fbc0-46d7-996d-b3eda5917f2e%2F69z49pw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Select the correct answer.**
**Label this graph as "linear" or "nonlinear."**
The graph displayed above is a visual representation commonly used in mathematics to describe functions and relationships between variables.
- **Description of the Graph:**
- The graph features a parabolic curve that opens upwards.
- The x and y axes are both labeled, with the x-axis representing the horizontal component and the y-axis representing the vertical component.
- The parabola's vertex is located at the origin (0,0).
- The curve is symmetric with respect to the y-axis.
**Options:**
- **A.** linear
- **B.** nonlinear
**Explanation:**
A **linear** graph is depicted by a straight line and represents linear equations of the form y = mx + b. A **nonlinear** graph, on the other hand, is characterized by curves such as parabolas, hyperbolas, circles, etc., representing nonlinear equations. The graph above is a parabola, indicating it is **nonlinear**. Select the correct option accordingly.
**Select the correct answer below:**
- ⚪ A. linear
- ⚪ B. nonlinear
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