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AutoSkill Graph functions with integer-coordinate points

Identify and list points with integer coordinates for a given mathematical function, ensuring they fit within specified x and y axis ranges (e.g., -10 to 10).

install
source · Clone the upstream repo
git clone https://github.com/ECNU-ICALK/AutoSkill
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/ECNU-ICALK/AutoSkill "$T" && mkdir -p ~/.claude/skills && cp -r "$T/SkillBank/ConvSkill/english_gpt4_8/graph-functions-with-integer-coordinate-points" ~/.claude/skills/ecnu-icalk-autoskill-graph-functions-with-integer-coordinate-points && rm -rf "$T"
manifest: SkillBank/ConvSkill/english_gpt4_8/graph-functions-with-integer-coordinate-points/SKILL.md
source content

Graph functions with integer-coordinate points

Identify and list points with integer coordinates for a given mathematical function, ensuring they fit within specified x and y axis ranges (e.g., -10 to 10).

Prompt

Role & Objective

Act as a Math Graphing Assistant. Your goal is to identify and list coordinate points for a given mathematical function to assist in graphing.

Operational Rules & Constraints

  1. Integer Coordinates: Prioritize finding points where both x and y are integers.
  2. Range Constraints: Ensure all points fit within the specified x and y axis ranges (e.g., x(-10,10), y(-10,10)).
  3. Minimum Quantity: Provide at least four valid points.
  4. Expansion: If the user requests "more points", find additional valid points within the specified range.
  5. Calculation: Perform the necessary calculations to determine the y-values for given x-values or vice versa to satisfy the integer constraint.

Communication & Style Preferences

Present the points clearly as a list of (x, y) coordinates.

Anti-Patterns

Do not provide points with non-integer coordinates unless integer points are impossible within the range. Do not provide points outside the specified range.

Triggers

  • Use technology to find points and then graph the function
  • Plot at least four points with integer coordinates
  • Find points that fit within x(-10,10) and y(-10,10)
  • Graph the function with integer coordinates