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For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum over the interval [1,11]. and x = (Round to the nearest integer as needed. Use ascending order.) Af(x) B. The absolute minimum is at x = (Round to the nearest integer as needed.) C. There is no absolute minimum. 10- 5- 0- 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The absolute minimum is at x = 6 X 12

For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum over the interval [1,11]. and x = (Round to the nearest integer as needed. Use ascending order.) Af(x) B. The absolute minimum is at x = (Round to the nearest integer as needed.) C. There is no absolute minimum. 10- 5- 0- 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The absolute minimum is at x = 6 X 12

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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**Finding Absolute Extrema on a Given Interval** **Problem Statement:** For the graph of \(y = f(x)\) shown to the right, find the absolute minimum and the absolute maximum over the interval \([1,11]\). --- **Graph Description:** The graph displays a continuous curve representing the function \(f(x)\) over the interval from \(x = 0\) to \(x = 12\). The \(y\)-axis is labeled from \(0\) to \(10\), and the graph visually shows fluctuations in \(f(x)\) that include peaks and valleys. **Key Features of the Graph:** - The curve starts increasing from the left, reaching a peak between \(x = 4\) and \(x = 5\). - After reaching this peak, the curve decreases until around \(x = 7\), then it starts increasing again. - It ends with a steep increase as \(x\) approaches \(12\). --- **Multiple Choice Question:** Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. - **A.** The absolute minimum is \(\_\_\_\) at \(x = \_\_\_\) and \(x = \_\_\_\). *(Round to the nearest integer as needed. Use ascending order.)* - **B.** The absolute minimum is \(\_\_\_\) at \(x = \_\_\_\). *(Round to the nearest integer as needed.)* - **C.** There is no absolute minimum.
Transcribed Image Text:**Finding Absolute Extrema on a Given Interval** **Problem Statement:** For the graph of \(y = f(x)\) shown to the right, find the absolute minimum and the absolute maximum over the interval \([1,11]\). --- **Graph Description:** The graph displays a continuous curve representing the function \(f(x)\) over the interval from \(x = 0\) to \(x = 12\). The \(y\)-axis is labeled from \(0\) to \(10\), and the graph visually shows fluctuations in \(f(x)\) that include peaks and valleys. **Key Features of the Graph:** - The curve starts increasing from the left, reaching a peak between \(x = 4\) and \(x = 5\). - After reaching this peak, the curve decreases until around \(x = 7\), then it starts increasing again. - It ends with a steep increase as \(x\) approaches \(12\). --- **Multiple Choice Question:** Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. - **A.** The absolute minimum is \(\_\_\_\) at \(x = \_\_\_\) and \(x = \_\_\_\). *(Round to the nearest integer as needed. Use ascending order.)* - **B.** The absolute minimum is \(\_\_\_\) at \(x = \_\_\_\). *(Round to the nearest integer as needed.)* - **C.** There is no absolute minimum.
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