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Graph the function. Plot all necessary asymptotes. For vertical asymptotes, make sure there are at least two points on each side. 2x-8 x+3 -15 h(x) = -10 15- 10- 5- -10- -15- h(x) 10 15 A X 1

Graph the function. Plot all necessary asymptotes. For vertical asymptotes, make sure there are at least two points on each side. 2x-8 x+3 -15 h(x) = -10 15- 10- 5- -10- -15- h(x) 10 15 A X 1

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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**Title: Graphing Rational Functions** **Instructions:** Graph the function. Plot all necessary asymptotes. For vertical asymptotes, ensure there are at least two points on each side. **Function:** \[ h(x) = \frac{2x - 8}{x + 3} \] **Graph Explanation:** - **Axes:** - The horizontal axis is labeled \( x \). - The vertical axis is labeled \( h(x) \). - **Grid:** - The grid is composed of squares, with both axes marked at intervals (e.g., -15, -10, -5, 0, 5, 10, 15) on both the \( x \) and \( h(x) \) axes. - **Tools:** - The interface provides tools for drawing, selecting, and adjusting graph elements (e.g., eraser, pencil, line, and grid adjustments). **Figure Description:** No specific graph of the function is present, indicating a preparatory stage for plotting. The task involves determining the behavior of the function and sketching it accordingly on the grid. **Notes for Students:** - Identify vertical and horizontal asymptotes by analyzing the function. - Plot points to understand the behavior of the function close to these asymptotes. - Ensure accuracy by checking points around critical values (vertices and intercepts).
Transcribed Image Text:**Title: Graphing Rational Functions** **Instructions:** Graph the function. Plot all necessary asymptotes. For vertical asymptotes, ensure there are at least two points on each side. **Function:** \[ h(x) = \frac{2x - 8}{x + 3} \] **Graph Explanation:** - **Axes:** - The horizontal axis is labeled \( x \). - The vertical axis is labeled \( h(x) \). - **Grid:** - The grid is composed of squares, with both axes marked at intervals (e.g., -15, -10, -5, 0, 5, 10, 15) on both the \( x \) and \( h(x) \) axes. - **Tools:** - The interface provides tools for drawing, selecting, and adjusting graph elements (e.g., eraser, pencil, line, and grid adjustments). **Figure Description:** No specific graph of the function is present, indicating a preparatory stage for plotting. The task involves determining the behavior of the function and sketching it accordingly on the grid. **Notes for Students:** - Identify vertical and horizontal asymptotes by analyzing the function. - Plot points to understand the behavior of the function close to these asymptotes. - Ensure accuracy by checking points around critical values (vertices and intercepts).
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