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Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.) y y = Ax) 2 2 -1 -1 -5 -4 -3 3 4 -4 -5 domain range Use the graph to find the indicated function values. (a) f(-3) = 0 %3D (b) f(2) = 10 (c) f(0): 4 %3D (d) f(3) = 10

Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.) y y = Ax) 2 2 -1 -1 -5 -4 -3 3 4 -4 -5 domain range Use the graph to find the indicated function values. (a) f(-3) = 0 %3D (b) f(2) = 10 (c) f(0): 4 %3D (d) f(3) = 10

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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## Exploring the Domain and Range of a Function Using its Graph ### Problem Statement Utilize the graph of the function to identify the domain and range of \( f \). Please provide your answer using interval notation. ### Graph Analysis The graph provided is a parabola opening downwards, represented by the equation \( y = f(x) \). The vertex of the parabola appears to be at the point (-1, 4), indicating the function reaches its maximum at \( x = -1 \) and \( y = 4 \). **Domain:** \(-5 \le x \le 5\) **Range:** \(-6 \le y \le 4\) ### Graph Within the graph: - The x-axis ranges from -5 to 5. - The y-axis ranges from -6 to 5. - The parabola intersects the x-axis at \( x = -5 \), \( x = 2 \), and \( x = 5 \) points. - The vertex of the parabola, a crucial point in this context, is at \( (-1, 4) \). ### Function Values Based on the graph, let’s find the function values for specified x-values: (a) \( f(-3) = 0 \) (This is incorrect; visually, \( f(-3) \approx -5 \)) (b) \( f(2) = 0 \) (This is correct; the graph intersects the x-axis at \( x = 2 \)) (c) \( f(0) = 4 \) (This is incorrect; visually, \( f(0) \approx 3 \)) (d) \( f(3) = 0 \) (This is incorrect; visually, \( f(3) \approx -5 \)) ### Summary For the given function: - The domain is from \(-5\) to \( 5 \), inclusive. - The range is from \(-6\) to \( 4 \), inclusive. These analyses are crucial in understanding the behavior and scope of the function provided. Accurate translation of graph data into domain and range aids in a deeper comprehension of the function's characteristics.
Transcribed Image Text:## Exploring the Domain and Range of a Function Using its Graph ### Problem Statement Utilize the graph of the function to identify the domain and range of \( f \). Please provide your answer using interval notation. ### Graph Analysis The graph provided is a parabola opening downwards, represented by the equation \( y = f(x) \). The vertex of the parabola appears to be at the point (-1, 4), indicating the function reaches its maximum at \( x = -1 \) and \( y = 4 \). **Domain:** \(-5 \le x \le 5\) **Range:** \(-6 \le y \le 4\) ### Graph Within the graph: - The x-axis ranges from -5 to 5. - The y-axis ranges from -6 to 5. - The parabola intersects the x-axis at \( x = -5 \), \( x = 2 \), and \( x = 5 \) points. - The vertex of the parabola, a crucial point in this context, is at \( (-1, 4) \). ### Function Values Based on the graph, let’s find the function values for specified x-values: (a) \( f(-3) = 0 \) (This is incorrect; visually, \( f(-3) \approx -5 \)) (b) \( f(2) = 0 \) (This is correct; the graph intersects the x-axis at \( x = 2 \)) (c) \( f(0) = 4 \) (This is incorrect; visually, \( f(0) \approx 3 \)) (d) \( f(3) = 0 \) (This is incorrect; visually, \( f(3) \approx -5 \)) ### Summary For the given function: - The domain is from \(-5\) to \( 5 \), inclusive. - The range is from \(-6\) to \( 4 \), inclusive. These analyses are crucial in understanding the behavior and scope of the function provided. Accurate translation of graph data into domain and range aids in a deeper comprehension of the function's characteristics.
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