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The graph of a function f is given. Use the graph to estimate the following. (Enter your answers using interval notation.) y 1 (a) The domain and range of f. domain range (b) The intervals on which f is 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 1 (a) The domain and range of f. domain range (b) The intervals on which f is 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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### The Graph of a Function The graph of function \( f \) is given below. Use the graph to estimate the following. (Enter your answers using interval notation.) #### Graph Description - The graph depicts a curve plotted in a coordinate plane. - The x and y axes are marked, and the graph includes both positive and negative values. - This specific function appears to have local maxima, minima, and intervals where it increases and decreases. #### Graph Details - The graph starts from the left at a high point, reaches a local maximum, then descends to a local minimum. - After the local minimum, the graph ascends again to a high point. - The x-axis range shown in the graph is roughly from -1.5 to 2.5, and the y-axis range is from about -1.5 to 2.5. #### Questions and Answer Areas **(a) The domain and range of \( f \).** *Domain:* - This appears to require entering the interval for x values over which the function is defined. *Range:* - This seems to require entering the interval for y values which the function achieves. **(b) The intervals on which \( f \) is increasing and on which \( f \) is decreasing.** *Increasing:* - Here, you need to specify the intervals over which the function is rising as you move from left to right on the graph. *Decreasing:* - Here, identify the intervals over which the function is falling as you move from left to right on the graph. #### Response Boxes Beside each question, there is a blank box where students will input their answers in interval notation. If any answer is incorrect, a red "x" symbol appears beside the answer box. --- Feel free to utilize the information provided to complete the entries appropriately based on the graph displayed.
Transcribed Image Text:### The Graph of a Function The graph of function \( f \) is given below. Use the graph to estimate the following. (Enter your answers using interval notation.) #### Graph Description - The graph depicts a curve plotted in a coordinate plane. - The x and y axes are marked, and the graph includes both positive and negative values. - This specific function appears to have local maxima, minima, and intervals where it increases and decreases. #### Graph Details - The graph starts from the left at a high point, reaches a local maximum, then descends to a local minimum. - After the local minimum, the graph ascends again to a high point. - The x-axis range shown in the graph is roughly from -1.5 to 2.5, and the y-axis range is from about -1.5 to 2.5. #### Questions and Answer Areas **(a) The domain and range of \( f \).** *Domain:* - This appears to require entering the interval for x values over which the function is defined. *Range:* - This seems to require entering the interval for y values which the function achieves. **(b) The intervals on which \( f \) is increasing and on which \( f \) is decreasing.** *Increasing:* - Here, you need to specify the intervals over which the function is rising as you move from left to right on the graph. *Decreasing:* - Here, identify the intervals over which the function is falling as you move from left to right on the graph. #### Response Boxes Beside each question, there is a blank box where students will input their answers in interval notation. If any answer is incorrect, a red "x" symbol appears beside the answer box. --- Feel free to utilize the information provided to complete the entries appropriately based on the graph displayed.
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