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Write an equation for the function graphed below

Write an equation for the function graphed below

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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The task is to write an equation for the function graphed below. **Description of the Graph:** - The graph features two vertical dashed red lines at \( x = -2 \) and \( x = 2 \), indicating vertical asymptotes. - The function appears to be a rational function with the following characteristics: - On the left side of the asymptote at \( x = -2 \), the graph approaches negative infinity as \( x \) approaches \(-2\) from the left, and positive infinity as \( x \) approaches \(-2\) from the right. - Between the vertical asymptotes, from \( x = -2 \) to \( x = 2 \), the graph drops from positive infinity to negative infinity. - On the right side of the asymptote at \( x = 2 \), the graph approaches positive infinity as \( x \) approaches \(2\) from the left, and negative infinity as \( x \) approaches \(2\) from the right. The graph suggests a function with the form of \( y = \frac{a}{x+b} + c \) or potentially a combination of operators indicative of a more complex rational function with two vertical asymptotes. **Input Section:** - Below the graph is a text box for entering the equation, indicated by "y = ". - A "Check Answer" button is provided to verify the equation entered.
Transcribed Image Text:The task is to write an equation for the function graphed below. **Description of the Graph:** - The graph features two vertical dashed red lines at \( x = -2 \) and \( x = 2 \), indicating vertical asymptotes. - The function appears to be a rational function with the following characteristics: - On the left side of the asymptote at \( x = -2 \), the graph approaches negative infinity as \( x \) approaches \(-2\) from the left, and positive infinity as \( x \) approaches \(-2\) from the right. - Between the vertical asymptotes, from \( x = -2 \) to \( x = 2 \), the graph drops from positive infinity to negative infinity. - On the right side of the asymptote at \( x = 2 \), the graph approaches positive infinity as \( x \) approaches \(2\) from the left, and negative infinity as \( x \) approaches \(2\) from the right. The graph suggests a function with the form of \( y = \frac{a}{x+b} + c \) or potentially a combination of operators indicative of a more complex rational function with two vertical asymptotes. **Input Section:** - Below the graph is a text box for entering the equation, indicated by "y = ". - A "Check Answer" button is provided to verify the equation entered.
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