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

Transcribed Image Text:### Understanding the Graph of a Function
The graph presented depicts a function \( f \). Use the graph to estimate the following characteristics of \( f \). Please enter your answers using interval notation.
#### Graph Description
The graph includes the following:
- A Cartesian plane with \( x \)- and \( y \)-axes.
- A red curve representing the function \( f \).
- A "WebAssign Plot" label indicating the platform used for plotting.
The curve appears to:
- Start from a point above the \( x \)-axis, ascend, and then descend crossing the \( x \)-axis.
- Continue to descend and then ascend again, forming a local minimum before crossing the \( x \)-axis again.
#### Questions
**(a) The domain and range of \( f \):**
- **Domain**:
- The set of all possible \( x \)-values (input values) for which the function is defined.
- **Range**:
- The set of all possible \( y \)-values (output values) that the function can take.
**(b) The intervals on which \( f \) is increasing and on which \( f \) is decreasing:**
- **Increasing**:
- The intervals in which the function \( f \) is rising as the \( x \) values increase.
- **Decreasing**:
- The intervals in which the function \( f \) is falling as the \( x \) values increase.
Please refer to the visual representation on the graph to determine the appropriate intervals.
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