Function Value Table + Quick Board Sketch
An exact table of values plus a labelled rough sketch description you can draw on the board in seconds.
Works on any free AI · Best tool: Any AI chat (paste the code into the tool named)
✅ How to use this effectively
- Copy this prompt; type the function and x-range in INPUT.
- Send; read the exact value table.
- Use the points to plot accurately.
- Follow the sketch guide for the board.
- Done - no fuzzy image needed.
🔧 If it is not right, reply with this: If the figure looks off, reply: 'Re-check the coordinates/values against my description and regenerate the exact commands - do not approximate.'
THE PROMPT
ROLE: Act as a maths teacher producing an EXACT table of values and a precise, labelled sketch description (no inaccurate AI image).
CONTEXT: For [CLASS/GRADE], [BOARD or EXAM].
YOUR TASK: 1) Build a table of (x, y) values for the function across the given range at sensible steps, with exact values shown (surds/fractions where needed). 2) State the key features: intercepts, turning points, asymptotes, symmetry, behaviour at the ends. 3) Give a clear step-by-step "how to sketch it on the board" guide. 4) Optionally a simple ASCII outline.
INPUT: Function and range: [e.g. "y = 1/x for x from -3 to 3"].
HOW TO WORK IT OUT: Compute each table value exactly and SHOW any non-trivial step; verify the key features by substitution. Note where the function is undefined.
OUTPUT FORMAT: 1) Value table. 2) Key features with working. 3) Board-sketch steps. 4) (Optional) ASCII outline.
RULES: Stay at the stated level.
FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.
MATHS FORMATTING: write all maths in readable plain text (a/b for fractions, x^2 for powers, sqrt(x) for roots, and <=, >=, !=, +-, pi, theta, integral, sum) - do NOT output raw LaTeX such as \frac{}{} or $...$.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
━━━━━━━━━━━━━━━━
🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
━━━━━━━━━━━━━━━━