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4. Domain: 4 -4-20 Range: Function? -2- y 2 4 X

4. Domain: 4 -4-20 Range: Function? -2- y 2 4 X

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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**Graph Analysis** The graph in the image shows a curve plotted on a coordinate plane with both x and y-axes marked from -4 to 4. The curve appears to resemble a cubic function, as it possesses a typical S-shaped form. It begins in the third quadrant, moves upwards through the origin (0, 0), and continues into the first quadrant. The curve goes through the following points: approximately (-2, -4) and (2, 4). **Details:** - **Axes:** - The x-axis is labeled with values from -4 to 4. - The y-axis is labeled similarly, from -4 to 4. - **Curve Behavior:** - Starts from the bottom left, moving upward through the origin, and continues to the top right. - The curve suggests a continuous function without any breaks or holes. **Questions:** 1. **Domain:** _____________________ - The domain is the set of all possible x-values. For this graph, it appears to be all real numbers since the curve extends infinitely in both horizontal directions. 2. **Range:** _____________________ - The range is the set of all possible y-values. Similarly, it seems to include all real numbers since the curve extends infinitely in the vertical direction. 3. **Function?** ______________ - Since each x-value maps to exactly one y-value, this graph represents a function.
Transcribed Image Text:**Graph Analysis** The graph in the image shows a curve plotted on a coordinate plane with both x and y-axes marked from -4 to 4. The curve appears to resemble a cubic function, as it possesses a typical S-shaped form. It begins in the third quadrant, moves upwards through the origin (0, 0), and continues into the first quadrant. The curve goes through the following points: approximately (-2, -4) and (2, 4). **Details:** - **Axes:** - The x-axis is labeled with values from -4 to 4. - The y-axis is labeled similarly, from -4 to 4. - **Curve Behavior:** - Starts from the bottom left, moving upward through the origin, and continues to the top right. - The curve suggests a continuous function without any breaks or holes. **Questions:** 1. **Domain:** _____________________ - The domain is the set of all possible x-values. For this graph, it appears to be all real numbers since the curve extends infinitely in both horizontal directions. 2. **Range:** _____________________ - The range is the set of all possible y-values. Similarly, it seems to include all real numbers since the curve extends infinitely in the vertical direction. 3. **Function?** ______________ - Since each x-value maps to exactly one y-value, this graph represents a function.
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