Understanding Functions and Sequences

The video tutorial explains the concept of a function as a mathematical relationship where each input has exactly one output. It uses a sequence to demonstrate this concept, showing that each input in the sequence results in a single output. The vertical line test is introduced as a method to verify if a graph represents a function. The tutorial concludes by stating that all sequences are functions because they adhere to the one input, one output rule.

What is a function in mathematical terms?

• A relationship where each input can have multiple outputs

• A relationship where each input has exactly one output

• A sequence of numbers

• A graph with multiple lines

If you input zero into the sequence function, what output do you get?

• 12

• 6

• Zero

• -6

What output do you get when you input one into the sequence?

• Zero

• 12

• -6

• 6

What is the output when the input is three in the sequence?

• 6

• -6

• Zero

• 12

Why can we conclude that all sequences are functions?

• Because they are not related to functions

• Because each input results in exactly one output

• Because they have no outputs

• Because they have multiple outputs for each input