28) For the graph of the function \( f \) sketched in the figure, determine the following:**Graph Description:**The graph is labeled with several important points. The curve passes through the points \((-3, -2)\), \((-1, 1)\), \((\frac{1}{2}, 1)\), \((1, 0)\), \((2, 1)\), and ends at \((4, 2)\). The curve appears to be a continuous function spanning from \(x = -3\) to \(x = 4\). - The function decreases to a minimum at \((-3, -2)\), then increases to \((-1, 1)\). - It stays constant through \((-\frac{1}{2}, 1)\) and \((2, 1)\).- The function decreases again at \((1, 0)\) and rises to reach \((4, 2)\).**Question (a):** Domain:- The domain options are given as: - \((-3, 4)\) - \([-3, 4]\) - \([-4, 4]\) - \([-2, 2]\) - \((-2, 2)\) The correct choice, as indicated, is \([-3, 4]\), meaning the function is defined for all \(x\) values from \(-3\) to \(4\) inclusive.**Question (b):** Range:- The range options are given as: - \((-2, 2)\) - \([-4, 4]\) - \([-2, 2]\)The correct choice, as indicated, is \([-2, 2]\), meaning the function's output or \(y\)-values range from \(-2\) to \(2\) inclusive. The image displays a section of an online assignment containing multiple-choice and fill-in-the-blank questions related to a mathematical function \( f(x) \).**(b) Range:**A multiple-choice question asking for the range of the function. The options are:1. \( (-2, 2) \)2. \( [-4, 4] \)3. \( [-2, 2] \) (This is selected with a checkmark)4. \( [-3, 4] \)5. \( (-3, 4) \)**(c) \( f(1) \)**A fill-in-the-blank question that asks for the value of \( f(1) \). The response given is "0", which is marked as correct with a checkmark.**(d) All \( x \) such that \( f(x) = 1 \)**A fill-in-the-blank question asking for all values of \( x \) such that \( f(x) = 1 \). The response given is "0", which is marked with a cross, indicating it is incorrect.**(e) All \( x \) such that \( f(x) > 1 \)**A multiple-choice question asking for all values of \( x \) such that \( f(x) > 1 \). The options are:1. \( (-3, -1) \cup \left( \frac{1}{2}, 1 \right) \)2. \( (-1, \frac{1}{2}) \)3. \( (-3, 1) \cup (1, 4) \)4. \( \left(-1, \frac{1}{2}\right) \cup (2, 4) \) (This is selected)5. \( (-2, 0) \cup (1, 2) \)This section of the assignment tests students' understanding of function range, evaluation, and solving inequalities related to functions.

Answered: For the graph of the function f…

For the graph of the function f sketched in the figure, determine the follow (-1, 1), +4 (-3,-2) (1,1) (4,2) (2, 1) (1,0) X

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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