Linear and non-linear functions are really interesting in math! 🎉 Let’s see how they are different when we do math operations with them:

1. Linear Functions:

   • They look like this: ( f(x) = mx + b ), where ( m ) and ( b ) are just numbers.
   • If you add, subtract, multiply, or divide them, you still get a linear function!
   • For example, if you add two linear functions, ( f(x) ) and ( g(x) ), you get ( h(x) = f(x) + g(x) ), and it stays linear.

2. Non-Linear Functions:

   • These can take many shapes, like curves (quadratics) ( f(x) = ax^2 + bx + c ) or exponential ones ( g(x) = a^x ).
   • When you do operations with non-linear functions, it can get tricky!
   • For example, if you multiply two non-linear functions, the result is a new non-linear function!

Knowing these differences can lead you to amazing discoveries in math! 🚀