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# Math 170 Functions, Data, and Models - PowerPoint PPT Presentation

Math 170 Functions, Data, and Models. Introduction and Functions. Paul Meyer Reimer, Guide. Basic Concepts. What is a function? A rule that assigns to each possible input exactly one output A question: such that when asked to any one person there is only one answer

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Math 170 Functions, Data, and Models

Introduction and Functions

• Paul Meyer Reimer, Guide

• What is a function?

• A rule that assigns to each possible input exactly one output

• A question: such that when asked to any one person there is only one answer

• What are domain and range?

• The possible inputs and actual outputs

• The possible people and their actual answers

• How can functions be represented?

• Words, tables, graphs, and formulas

• Who is your biological mother?

• Who is your biological child?

• Given the length, l (cm) of one side of a square, What is the area of the square (in square cm)?

• Given a number, x, what is its square root?

• The number of digits to the left of the decimal point of the decimal representation of a given number.

• Paul’s distance from the podium a given number of seconds after he says, “Go.”

• Describe in words all possible functions

• There are 6 ordered pairs of variables.

• Milk cannot be the input – why not?

• Is “price” at a particular time during the month or an average over the entire month, or something else?

• Describe the functions and non-functions displayed in the graph.

1.Which one point can be removed from the Figure 1.1 to make it the graph of a function?

• A

• B

• C

• D

• Any one of the previous

ConcepTest • Section 1.1 •Question 1

3. The graph in Figure 1.2 remains the graph of a function when which of the following points are added

• (0,0)

• (-100,1)

• (1,-100)

• All of the above

• (0,0) and (-100,1)

ConcepTest • Section 1.1 •Question 3

8. Think of a (sans-serif) letter as the graph of some relationship on an x-y- coordinate system. How many (lower case) letters of the alphabet could be the graph of a function?

• None

• One

• Two

• Most of them

• All of them

ConcepTest • Section 1.1 •Question 8

Dependent & Independent variables relationship on an

• The variable corresponding to the domain (the Year) is the independent variable.

• The variable corresponding to the range (Time) is the dependent variable.

Homework Before Thursday relationship on an