Relations & Functions Lab 🔬

Concepts explore karo — sirf padho mat, try karo!

🗺️ Lab 1: Function Type Explorer

Left side (Domain) se right side (Codomain) par click karo arrows draw karne ke liye. System automatically batayega — one-one hai ya onto ya bijective!

One-One: ?
Onto: ?
Bijective: ?
Arrows draw karo ya example button click karo!

📈 Lab 2: Horizontal Line Test — One-One ka Visual Proof

Function choose karo. Ek horizontal line move karke dekho — agar yeh line curve ko ek se zyada jagah kaate toh function one-one NAHI hai!

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Slider move karo!

🔗 Lab 3: Composition of Functions — gof(x) = g(f(x))

x ka value choose karo. Dekho kaise value pehle f mein jaati hai, phir uska output g mein jaata hai. Step-by-step chain!

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Values select karo!

🔄 Lab 4: Inverse Trig — Value se Angle Nikalo

Slider se sin/cos/tan value choose karo. Unit circle par dekho — corresponding angle kaun sa hai? Yahi hai inverse trig ka kaam!

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