Understanding Functions and Algorithms

What is a function in math?

• A type of food

• A rule that gives one output for each input

• A game

• A shape

In the “Cake Machine” example, if the machine always makes one cake from one egg, this shows that the machine works like a...

• Set

• Queue

• Function

• Stack

If f(x) = 2x + 1, what is f(3)?

• 5

• 6

• 7

• 8

Which real-life example shows a function?

• A mirror

• A vending machine

• A tree

• A cloud

What is the benefit of using functions in problem solving?

• It makes the problem longer

• It avoids repetition and organizes steps

• It uses more paper

• It confuses the user

Which statement is true about a function?

• One input can give many outputs

• Each input gives exactly one output

• Functions cannot use numbers

• Functions must be written in Java

If f(x) = x – 4, what is f(10)?

• 4

• 6

• 10

• 14

What is a set?

• A group of numbers that must be in order

• A collection of unique objects

• A type of computer

• A list with repeated items

If A = {2, 4, 6} and B = {4, 5}, what is A ∩ B?

• {2, 4, 5, 6}

• {4}

• {2, 6}

• {}

What is A ∪ B if A = {a, b} and B = {b, c}?

• {a, b}

• {b, c}

• {a, b, c}

• {}