2x3 – 5x² + 3x -- 1. Find the equation of the slant asymptote of y : 72 – T - 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Example Examination Problem

**Problem 1:**  
Find the equation of the slant asymptote of 

\[
y = \frac{2x^3 - 5x^2 + 3x}{x^2 - x - 2}
\]

---

**Instructions:**  
Sketch the following curves.  

**Notes for Students:**  
- To find the slant asymptote of a rational function, divide the numerator by the denominator using polynomial long division.
- Ensure accuracy in sketching by identifying key points and behaviors of the curves.
Transcribed Image Text:### Example Examination Problem **Problem 1:** Find the equation of the slant asymptote of \[ y = \frac{2x^3 - 5x^2 + 3x}{x^2 - x - 2} \] --- **Instructions:** Sketch the following curves. **Notes for Students:** - To find the slant asymptote of a rational function, divide the numerator by the denominator using polynomial long division. - Ensure accuracy in sketching by identifying key points and behaviors of the curves.
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