Real-World Applications
📋 What it is
Functions run pricing, physics, biology, gaming and finance.
🗣️ Coach says
Functions are the maths of "how one thing depends on another". Cost depends on quantity, distance on time, population on years. Spotting the function in a real situation makes it predictable and controllable.
🧠 Memory hook
Wherever "output depends on input", there's a function you can write and use.
😂 Giggle
What did the positive slope say during a race?
"I'm going up from here!"
😲 Whoa!
A game character's falling speed follows a function of time — that's why jumps feel realistic.
✅ Quick check: Which is a function: "a taxi's cost depending on distance" or "a random dice roll"?
Say your answer out loud first — then reveal.
The taxi cost — distance reliably determines the fare; a dice roll is random, not a fixed rule.
A function needs one definite output per input; randomness has none.
🧪 Try it! (2 minutes)
Name one real "depends on" relationship (e.g. score depends on level) and write it as a function.