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Learn to graph rational functions systematically in this comprehensive 35-minute tutorial designed for AP Precalculus students. Master the essential step-by-step process beginning with factoring both numerator and denominator, then progress through identifying domain restrictions and locating critical features including holes (removable discontinuities), vertical asymptotes, x-intercepts, and y-intercepts. Discover how to determine horizontal or slant asymptotes through degree comparisons and long division techniques, while exploring sign analysis and end behavior patterns that enable confident sketching of any rational function. Perfect your understanding of these fundamental concepts essential for success in AP Precalculus, college algebra, or advanced mathematical studies requiring mastery of rational function analysis and graphing techniques.
