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Use the graph of the rational function to complete the following statement. As x → -1", f(x) →

Use the graph of the rational function to complete the following statement. As x → -1", f(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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**Educational Website Transcription** --- **Graph of a Rational Function** **Task:** Use the graph of the rational function to complete the following statement. **Statement:** As \( x \to -1^- \), \( f(x) \to \) ____. **Diagram Explanation:** The graph provided illustrates a rational function with noticeable vertical asymptotes and curves approaching these asymptotes. The function appears to have a vertical asymptote at \( x = -1 \). As \( x \) approaches -1 from the left (denoted by \( x \to -1^- \)), the function \( f(x) \) trends towards positive infinity, suggested by the curve rising upward steeply as it nears the line \( x = -1 \). **Conclusion Statement:** As \( x \to -1^- \), \( f(x) \to \boxed{\infty} \). --- This transcription describes the behavior of the rational function graph for educational purposes, helping students understand limits and asymptotic behavior in calculus.
Transcribed Image Text:**Educational Website Transcription** --- **Graph of a Rational Function** **Task:** Use the graph of the rational function to complete the following statement. **Statement:** As \( x \to -1^- \), \( f(x) \to \) ____. **Diagram Explanation:** The graph provided illustrates a rational function with noticeable vertical asymptotes and curves approaching these asymptotes. The function appears to have a vertical asymptote at \( x = -1 \). As \( x \) approaches -1 from the left (denoted by \( x \to -1^- \)), the function \( f(x) \) trends towards positive infinity, suggested by the curve rising upward steeply as it nears the line \( x = -1 \). **Conclusion Statement:** As \( x \to -1^- \), \( f(x) \to \boxed{\infty} \). --- This transcription describes the behavior of the rational function graph for educational purposes, helping students understand limits and asymptotic behavior in calculus.
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