Independent and Dependent Quantities
Functions and Function Families
Function Notation
Evaluating Functions
Domain and Range
100

Which variables represent the independent and dependent quantities?

x is independent and y is dependent
100

How do you know if a relation is a function in a table?

The domain values do not repeat

100

In the function f(x) = 20, what is the input?

x

100

Evaluate f(x) = 3x +2 for f(2) and express your answer in function notation.

f(2) = 8

100
Define domain and range of a function 

The domain is the set of input (x) values and the range is the set of output (y) values

200
True or False: There is an independent and a dependent quantity for every function

True

200

Do these ordered pairs represent a function?

{(2, 2), (3, 4), (4, 3), (5, 6)}

Yes

200
If f(x) = 3x and g(x) = 2x, is it true or false that f(2) > g(3)?

False!

200

Evaluate b(m) = m2 -3 for b(2) and express your answer in function notation.

b(2) = 1

200

If a graph is continuous, how is it represented in the domain and range?

All real numbers

300

Gillian is playing video games in an arcarde. Gillian starts with $40 and is playing games that cost 50 cents per game. What are the independent and dependent quantities?

IQ: number of games played

DQ: Money (dollars)

300

Which function family graphs a 'U' shape?

Quadratic

300

Ms. Ferrao charges her tutoring clients $50 per hour. Use function notation to express how much money she makes tutoring for 5 hours each week.

F(5) = 250

300

Evaluate h(x) = 3x - 4 for h(3) and express your answer in function notation.

h(3) = 24

300

True or False: Linear functions that are continuous  have the set of all real numbers as domain and range

True

400
Julian works as a salesman. He receives a monthly salary of $3,000 as well as a 10% commission on the amount of sales. What are the independent and dependent quantities?

IQ: monthly sales (dollars)

DQ: monthly earnings (dollars)

400

True or False: All functions increase and decrease

False

400

Write y = 5x - 10 in function notation.

f(x)=5x-10

400

Evaluate D(x) = 4x3 - 3x2 + 2x -1 for D(-2) and express your answer in function notation. 

D(-2) = 49
400

Express the domain and range in interval notation:

Domain: the x values are greater than -4 and less than 8

Range: the y values are less than to 10 and greater than 0

D: (-4,8)

R: (0,10]


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