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4. Consider the function y = f (x) shown below to answer these questions: [= a. What is the domain of f? Answer using set or interval notation, or state "all real numbers." b. What is the range of f ? Answer using set or interval notation, or state "all real numbers." c. Find the value of f (11). Approximate if necessary. d. Find all values of x such that f(x) =2. Approximate if necessary. 8- 구 5- 3- -5 -4 -3 -2 -1 $ 9 10 11 12 13 -2 -3

4. Consider the function y = f (x) shown below to answer these questions: [= a. What is the domain of f? Answer using set or interval notation, or state "all real numbers." b. What is the range of f ? Answer using set or interval notation, or state "all real numbers." c. Find the value of f (11). Approximate if necessary. d. Find all values of x such that f(x) =2. Approximate if necessary. 8- 구 5- 3- -5 -4 -3 -2 -1 $ 9 10 11 12 13 -2 -3

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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**Consider the function \( y = f(x) \) shown below to answer these questions:** a. What is the domain of \( f \)? Answer using set or interval notation, or state "all real numbers." b. What is the range of \( f \)? Answer using set or interval notation, or state "all real numbers." c. Find the value of \( f(11) \). Approximate if necessary. d. Find all values of \( x \) such that \( f(x) = 2 \). Approximate if necessary. The graph displays a semicircular curve opening upwards, with endpoints at approximately (-5, 5) and (13, 5). The lowest point of the curve is around (4, 0). - **Domain**: The domain of \( f \) is the set of \( x \)-values where the function is defined. From the graph, the domain appears to be the interval \([-5, 13]\). - **Range**: The range of \( f \) is the set of \( y \)-values the function can take. The graph shows that \( y \) ranges from 0 to 5, so the range is \([0, 5]\). - **\( f(11) \)**: Locate \( x = 11 \) on the graph and find the corresponding \( y \)-value. Point (11, 3) indicates \( f(11) \approx 3 \). - **Values of \( x \) where \( f(x) = 2 \)**: Find the \( x \)-values that correspond to \( y = 2 \). From the graph, \( f(x) = 2 \) at approximately \( x = 2 \) and \( x = 10 \).
Transcribed Image Text:**Consider the function \( y = f(x) \) shown below to answer these questions:** a. What is the domain of \( f \)? Answer using set or interval notation, or state "all real numbers." b. What is the range of \( f \)? Answer using set or interval notation, or state "all real numbers." c. Find the value of \( f(11) \). Approximate if necessary. d. Find all values of \( x \) such that \( f(x) = 2 \). Approximate if necessary. The graph displays a semicircular curve opening upwards, with endpoints at approximately (-5, 5) and (13, 5). The lowest point of the curve is around (4, 0). - **Domain**: The domain of \( f \) is the set of \( x \)-values where the function is defined. From the graph, the domain appears to be the interval \([-5, 13]\). - **Range**: The range of \( f \) is the set of \( y \)-values the function can take. The graph shows that \( y \) ranges from 0 to 5, so the range is \([0, 5]\). - **\( f(11) \)**: Locate \( x = 11 \) on the graph and find the corresponding \( y \)-value. Point (11, 3) indicates \( f(11) \approx 3 \). - **Values of \( x \) where \( f(x) = 2 \)**: Find the \( x \)-values that correspond to \( y = 2 \). From the graph, \( f(x) = 2 \) at approximately \( x = 2 \) and \( x = 10 \).
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