Complete the following exercises. It is important that you show your ability to show your work or line of reasoning.

Exercise 1 f( n ) = n⁶ + 3ⁿ f( n ) = 2ⁿ + 12 f( n ) = 3ⁿ + 2ⁿ f( n ) = nⁿ + n

Exercise 2: For the following complexities write down a tight and a non-tight O bound, and a tight and non-tight bound of your choice, providing they exist. ( 1 ) ( n ) ( n ) ( n2 ) ( n3 )