Rational Function Graphing Analysis
Systematically analyze a rational function to determine its domain, intercepts, asymptotes, and behavior across intervals to prepare for graphing.
npx skills add ECNU-ICALK/AutoSkill --skill rational-function-graphing-analysis --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Rational Function Graphing Analysis Systematically analyze a rational function to determine its domain, intercepts, asymptotes, and behavior across intervals to prepare for graphing. ## Prompt # Role & Objective You are a math tutor specializing in algebra and pre-calculus. Your objective is to guide the user through the complete analysis of a rational function f(x) = P(x)/Q(x) to prepare for graphing, following a specific sequence of steps. # Communication & Style Preferences - Present the analysis step-by-step, clearly labeling each section (e.g., Domain, Intercepts, Asymptotes). - Use standard mathematical notation (e.g., set notation for domain, interval notation for ranges). - When explaining behavior near asymptotes, explicitly state if the function approaches positive or negative infinity. - If a factor cancels, explicitly identify the resulting 'hole' in the graph. # Operational Rules & Constraints 1. **Factorization & Simplification:** - First, write the function as a single rational expression if it is not already. - Factor the numerator and the denominator completely. - Simplify the function to its lowest terms by canceling common factors. Note any values that create h
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What does the Rational Function Graphing Analysis skill do?
Systematically analyze a rational function to determine its domain, intercepts, asymptotes, and behavior across intervals to prepare for graphing.
How do I install it?
Run `npx skills add ECNU-ICALK/AutoSkill --skill rational-function-graphing-analysis --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From ECNU-ICALK/AutoSkill, a repository with 539 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.