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From the graph, determine the x- and y-intercepts and the vertical and hortzontal asymptates. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) -intercept (x, y) - y-intercept (x, y) - vertical asymptote horizontal asymptote 10 -10 -5 10 -10

From the graph, determine the x- and y-intercepts and the vertical and hortzontal asymptates. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) -intercept (x, y) - y-intercept (x, y) - vertical asymptote horizontal asymptote 10 -10 -5 10 -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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**Educational Website Transcription** --- **Analyzing Graphs: Intercepts and Asymptotes** From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) ### Intercepts - **x-intercept:** (x, y) = ( ______ , ______ ) - **y-intercept:** (x, y) = ( ______ , ______ ) ### Asymptotes - **Vertical asymptote:** ___________________ - **Horizontal asymptote:** ___________________ ![Graph of the Function](https://via.placeholder.com/150) #### Detailed Explanation of the Graph: The graph is a plot on a Cartesian coordinate system with the x-axis ranging from -10 to 10 and the y-axis ranging from -10 to 10. The plot features two distinct curves (colored in red) and two blue dashed lines indicating the asymptotes. 1. **Red Curves:** These curves demonstrate the behavior of the function. Notable points include: - Approaching the vertical asymptote from both the positive and negative sides. - Extending towards horizontal asymptotes as x tends towards ±∞. 2. **Blue Dashed Lines (Asymptotes):** - The vertical asymptote is depicted as a blue dashed line along \( x = 5 \). - The function appears to have no horizontal asymptote visible on the graph. The intercepts and asymptotes to be filled in should correspond to these observations on the graph. ---
Transcribed Image Text:**Educational Website Transcription** --- **Analyzing Graphs: Intercepts and Asymptotes** From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) ### Intercepts - **x-intercept:** (x, y) = ( ______ , ______ ) - **y-intercept:** (x, y) = ( ______ , ______ ) ### Asymptotes - **Vertical asymptote:** ___________________ - **Horizontal asymptote:** ___________________ ![Graph of the Function](https://via.placeholder.com/150) #### Detailed Explanation of the Graph: The graph is a plot on a Cartesian coordinate system with the x-axis ranging from -10 to 10 and the y-axis ranging from -10 to 10. The plot features two distinct curves (colored in red) and two blue dashed lines indicating the asymptotes. 1. **Red Curves:** These curves demonstrate the behavior of the function. Notable points include: - Approaching the vertical asymptote from both the positive and negative sides. - Extending towards horizontal asymptotes as x tends towards ±∞. 2. **Blue Dashed Lines (Asymptotes):** - The vertical asymptote is depicted as a blue dashed line along \( x = 5 \). - The function appears to have no horizontal asymptote visible on the graph. The intercepts and asymptotes to be filled in should correspond to these observations on the graph. ---
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