Solver to Analyze and Graph a Rational Function

Step‑by‑step analysis of rational functions \( f(x) = \dfrac{ax + b}{cx + d} \). Find domain, vertical/horizontal asymptotes, x and y intercepts, and visualize the graph with asymptotes.

📐 Rational Function Analyzer

Analyze \( f(x) = \dfrac{ax + b}{cx + d} \) — asymptotes, intercepts, domain, and graph

\( f(x) = \dfrac{2x + 1}{x - 1} \)
Find: domain, vertical asymptote, horizontal asymptote, x-intercept, y-intercept

📖 Step-by-Step Analysis

STEP 1: Domain (denominator ≠ 0)
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STEP 2: Vertical Asymptote
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STEP 3: Horizontal Asymptote
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STEP 4: x-intercept and y-intercept
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STEP 5: Graph Summary
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📊 Graph of the Rational Function
Green: curve | Red dashed: vertical asymptote | Blue dashed: horizontal asymptote | Red point: x-intercept | Brown point: y-intercept

Adjust axis scale. The curve approaches but never touches the asymptotes.