Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
**Exercise: Analyzing Functions** 1. **Determine Behavior of Each Branch** - **Branch 1**: ___________ - *Note ID: #11* - **Branch 2**: ___________ - *Note ID: #12* - **Branch 3**: ___________ - *Note ID: #13* 2. **State the Interval for Each Behavior** - **Increasing**: ___________ - *Note ID: #14* - **Decreasing**: ___________ - *Note ID: #15* - **Constant**: ___________ - *Note ID: #16* **Instructions:** For each branch, determine whether the function is increasing, decreasing, or constant. Then, use algebraic or interval notation to specify the intervals where each behavior occurs.
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Transcribed Image Text:**Exercise: Analyzing Functions** 1. **Determine Behavior of Each Branch** - **Branch 1**: ___________ - *Note ID: #11* - **Branch 2**: ___________ - *Note ID: #12* - **Branch 3**: ___________ - *Note ID: #13* 2. **State the Interval for Each Behavior** - **Increasing**: ___________ - *Note ID: #14* - **Decreasing**: ___________ - *Note ID: #15* - **Constant**: ___________ - *Note ID: #16* **Instructions:** For each branch, determine whether the function is increasing, decreasing, or constant. Then, use algebraic or interval notation to specify the intervals where each behavior occurs.
The image displays a vector diagram on a coordinate grid, illustrating three vectors labeled (1), (2), and (3). 1. **Vector 1**: - Begins at the point (-2, 3.5). - Ends at the origin (0,0). - The vector is indicated by a green arrow pointing toward the origin. 2. **Vector 2**: - Starts at the origin (0,0). - Ends at point (4, 3.5). - Represented by a blue arrow. 3. **Vector 3**: - Begins at point (4, 3.5). - Extends to the point (12, 0). - Shown as a brown arrow. Each vector is assigned a circle with its respective number for identification, positioned mid-path to avoid overlap. ### Diagram Explanation: - **Grid**: A standard Cartesian coordinate grid with both axes marked at intervals, with positive and negative coordinates. - **Vectors**: Each vector's direction and magnitude are visually represented by arrows. The coordinates of initial and terminal points are indicated near each end of the vectors. - **Purpose**: This diagram may illustrate vector addition, showing how vectors can be chained from one point to another, forming a path traced by three segments.
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Transcribed Image Text:The image displays a vector diagram on a coordinate grid, illustrating three vectors labeled (1), (2), and (3). 1. **Vector 1**: - Begins at the point (-2, 3.5). - Ends at the origin (0,0). - The vector is indicated by a green arrow pointing toward the origin. 2. **Vector 2**: - Starts at the origin (0,0). - Ends at point (4, 3.5). - Represented by a blue arrow. 3. **Vector 3**: - Begins at point (4, 3.5). - Extends to the point (12, 0). - Shown as a brown arrow. Each vector is assigned a circle with its respective number for identification, positioned mid-path to avoid overlap. ### Diagram Explanation: - **Grid**: A standard Cartesian coordinate grid with both axes marked at intervals, with positive and negative coordinates. - **Vectors**: Each vector's direction and magnitude are visually represented by arrows. The coordinates of initial and terminal points are indicated near each end of the vectors. - **Purpose**: This diagram may illustrate vector addition, showing how vectors can be chained from one point to another, forming a path traced by three segments.
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