Section 1 (Modeling, Functions, and Change)

Question 1

ƒ(m)

independent variable

Answer 1

independent variable is the INPUT “m”

Question 2

ƒ(m)

dependent variable

Answer 2

dependent variable is the OUTPUT “ƒ”

Question 3

decision-factor equation

Answer 3

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

Question 4

average rate of change

Answer 4

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

(ƒ(b) - ƒ(a)) / (b-a)

Question 5

decision-factor equation: is lower or higher preferred?

Answer 5

lower

Question 6

interval notation

[3,8) is…

(-1,1) is…

[4,5] is…

Answer 6

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

Question 7

ƒ(m)

domain

Answer 7

ƒ(m)

domaIN is the INPUT variable “m”

Question 8

ƒ(m)

range

Answer 8

ƒ(m)

range is the OUTPUT “ƒ”

Question 9

Practical Range is…

Answer 9

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

Question 10

Practical Domain is…

Answer 10

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