MATEMATICA — Esercizio 07
🎓
Sign up for free →
You are exploring a public demo
Sign up to access all exercises and save your progress.
📋 Testo
The exponential function: draw y = 2^x using the graph.
Analyse the behaviour:
- What happens to the value of y as x becomes very large (x → +∞)?
- What happens as x becomes very negative (x → -∞)?
- Does the function have zeros? Why or why not?
- What is f(0)?
Also try comparing 2^x with 3^x by drawing them together.
Analisi: Guide the student to discover the properties of exponential growth. Ask: 'How long does it take for y to double?' Introduce the concept of a horizontal asymptote (y → 0 as x → -∞). Ask why 2^x can never be zero or negative.
📐 Studio di Funzione
f(x) =
Inserisci una funzione per iniziare
x: 0 y: 0
Zeri f(x)=0:
—
| x | y |
|---|---|
| Inserisci una funzione | |
Socratic AI Tutor