Some Cool Graphs

Cool Things to See:

• The Square (x²): Notice how it forms a U-shape (a parabola). Why does it never goes below zero? (Hint: What happens when we multiply a negative number by itself?)
• The Cube (x³): This can go negative! It creates a smooth, flowing S-curve
• The Reciprocal (1/x): This graph splits into two separate curves. It gets closer and closer to the axes but never actually touches them!
• Sine and Cosine (sin(x) and cos(x)): These create endless, smooth waves. Perfect for modeling sound, light, or ocean waves