Question

1. The relation between the input of a person and the output of that person's height is a function, because each person has exactly one height. However, the relation between the input of a person and the output of that's person's telephone number, is not a function because a single person might have several telephone numbers (home phone, cell phone, work phone, etc). a) Describe a relation (give its input and output) in your life that is a function Explain why it is a function. b) Describe a relation (give its input and output) in your life that is not a function. Explain why it is not a function. 2. Imagine that our Math 91 class goes down to the Highline's track and each person is timed running one lap around the 400-meter track. The function T(n) gives the time Tas a function of the person's name n. (So input name, output time.) Is this actually a function? Yes No (circle one) What is the Domain? What is the Range? 3. Create your own example of a real world "piecewise function". (See the example at the end of Aaron's video on IA 2.7 - Piecewise Functions.) The example needs to be unique, different than Aaron's. There are many in the world around us.

Answer 1

1)a) Here consider the input as person

output as person's birthdate

Since each person has exactly one birthdate so exactly one output is there for each input

Thus it is a function

b)consider input as person

output as person adderess (whether home or office address)

Since one person can have multiple home address as he /she can own more than one house or can have multiple office address if they work more than one job. So here the output is not unique for each input

Thus it is not a function