Section 1 (Modeling, Functions, and Change) Flashcards Preview

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Flashcards in Section 1 (Modeling, Functions, and Change) Deck (10)
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1

ƒ(m)

independent variable

independent variable is the INPUT "m"

2

ƒ(m)

dependent variable

dependent variable is the OUTPUT "ƒ"

3

decision-factor equation

mathematical model to help in making a decision, lower is better

eg between two cars:

One could model it as

decision factor = mileage + price + color

4

average rate of change

Divide the difference of the two outputs by the difference of the two inputs

(ƒ(b) - ƒ(a)) / (b-a)

5

decision-factor equation: is lower or higher preferred?

lower

6

interval notation

[3,8) is...

(-1,1) is...

[4,5] is...

interval notation

[3,8) is... the numbers from 3 to 8, including 3 and excluding 8

(-1,1) is... the numbers from -1 to 1, excluding -1 and 1

[4,5] is... the numbers from 4 to 5, including 4 and 5

7

ƒ(m)

domain

ƒ(m)

domaIN is the INPUT variable "m"

8

ƒ(m)

range

ƒ(m)

range is the OUTPUT "ƒ"

9

Practical Range is...

Practical Range is... limiting the range to values that make sense in the real world

10

Practical Domain is...

Practical Domain is... limiting the domain to values that make sense in the real world