Function Notation
(1,7); (3,4); (8,5); (10,2)
This set of ordered pairs is a function. This is because all of the inputs (Domain) only have one output. The numbers that show up as the domain in the ordered pairs are 1, 3, 8, and 10.
This set of ordered pairs is a function. This is because all of the inputs (Domain) only have one output. The numbers that show up as the domain in the ordered pairs are 1, 3, 8, and 10.
(3,2); (3,8); (3,6); (3,7)
This set of ordered pairs is not a function. This because the elements of the domain has multiple outputs. The domain only contains 3 while each number has multiple outputs.
This set of ordered pairs is not a function. This because the elements of the domain has multiple outputs. The domain only contains 3 while each number has multiple outputs.
Linear Function Example
Sally walks dogs in order to earn money. For every hour of walking dogs she earns one dollar.
The inputs (domain) of this scenario would be any real number equal or greater than zero.
Sally walks dogs in order to earn money. For every hour of walking dogs she earns one dollar.
The inputs (domain) of this scenario would be any real number equal or greater than zero.
Exponential Function
George wants to spread his idea of a new type of sport to people around the city. He starts by telling one person on the first day. The two people who know both tell one more person and this process continues for 2 weeks.
The inputs for this scenario are any number greater or equal to 0 and less than or equal to 14.
George wants to spread his idea of a new type of sport to people around the city. He starts by telling one person on the first day. The two people who know both tell one more person and this process continues for 2 weeks.
The inputs for this scenario are any number greater or equal to 0 and less than or equal to 14.