Rational Functions · Advanced Drill · 7-4

Rational Functions
Master 20 Problems

Asymptotes · Holes · Intercepts · Graph Analysis — Only the tricky ones

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⚡ Memory Keys

CANCEL → HOLE Common factor cancels = hole, not VA

DENOM ZERO → VA Remaining denom = 0 → vertical asymptote

DEGREE RACE num < denom → y=0 · equal → leading coeff ratio

SLANT = POLY DIV num = denom+1 → long division → slant asymptote

X-INT: SET NUM=0 Set numerator = 0 (exclude hole x-values!)

Y-INT: PLUG x=0 Substitute x=0 into simplified function

FINAL RESULT

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