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Math 170 Functions, Data, and ModelsPowerPoint Presentation

Math 170 Functions, Data, and Models

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Math 170 Functions, Data, and Models

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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

- The variable corresponding to the domain (the Year) is the independent variable.
- The variable corresponding to the range (Time) is the dependent variable.

- Read Syllabus & Section 1.1 (if not already done).
- Complete Moodle First Survey.
- Complete WileyPlus S1.1 assignment.
- Read Section 1.2.