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The graph of a function f is given. Use the graph to estimate the following. (Enter your ansvwers using interval notation.) y (a) The domain and range of f. domain range (b) The intervals on vwhich fis increasing and on which f is decreasing. increasing decreasing

The graph of a function f is given. Use the graph to estimate the following. (Enter your ansvwers using interval notation.) y (a) The domain and range of f. domain range (b) The intervals on vwhich fis increasing and on which f is decreasing. increasing decreasing

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
### Graphical Analysis of a Function #### Objective Analyze the given graph of a function \( f \) and estimate the specified characteristics. (Enter your answers using interval notation.) #### Graph Description The graph presents a piecewise linear function \( f \) plotted on a set of axes with \( x \) and \( y \) coordinates. - **Axes Details:** - The x-axis and y-axis are marked with integer units. - The x-axis ranges from approximately -2 to 4. - The y-axis ranges from approximately -2 to 2. - **Graph Data Points:** 1. Starts at approximately (-2, 2) 2. Goes down to (-1, -1) 3. Rises to (0, 0) 4. Falls to (1, -2) 5. Rises to (2, 1) 6. Ends at (3, 0) #### Tasks: (a) **The domain and range of \( f \):** - **Domain:** The set of all possible \( x \)-values for which \( f \) is defined. \[ \text{Domain: } \_\_\_\_\_\_\_ \] - **Range:** The set of all possible \( y \)-values that \( f \) can take. \[ \text{Range: } \_\_\_\_\_\_\_ \] (b) **The intervals on which \( f \) is increasing and on which \( f \) is decreasing:** - **Increasing Intervals:** The intervals where the value of \( f \) increases as \( x \) increases. \[ \text{Increasing: } \_\_\_\_\_\_\_ \] - **Decreasing Intervals:** The intervals where the value of \( f \) decreases as \( x \) increases. \[ \text{Decreasing: } \_\_\_\_\_\_\_ \]
Transcribed Image Text:### Graphical Analysis of a Function #### Objective Analyze the given graph of a function \( f \) and estimate the specified characteristics. (Enter your answers using interval notation.) #### Graph Description The graph presents a piecewise linear function \( f \) plotted on a set of axes with \( x \) and \( y \) coordinates. - **Axes Details:** - The x-axis and y-axis are marked with integer units. - The x-axis ranges from approximately -2 to 4. - The y-axis ranges from approximately -2 to 2. - **Graph Data Points:** 1. Starts at approximately (-2, 2) 2. Goes down to (-1, -1) 3. Rises to (0, 0) 4. Falls to (1, -2) 5. Rises to (2, 1) 6. Ends at (3, 0) #### Tasks: (a) **The domain and range of \( f \):** - **Domain:** The set of all possible \( x \)-values for which \( f \) is defined. \[ \text{Domain: } \_\_\_\_\_\_\_ \] - **Range:** The set of all possible \( y \)-values that \( f \) can take. \[ \text{Range: } \_\_\_\_\_\_\_ \] (b) **The intervals on which \( f \) is increasing and on which \( f \) is decreasing:** - **Increasing Intervals:** The intervals where the value of \( f \) increases as \( x \) increases. \[ \text{Increasing: } \_\_\_\_\_\_\_ \] - **Decreasing Intervals:** The intervals where the value of \( f \) decreases as \( x \) increases. \[ \text{Decreasing: } \_\_\_\_\_\_\_ \]
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