Functions
Vocabulary
Domain/Range
Independent/Dependent
Writing Equations in Function Notation
100
Is it a function and why? {(2,3), (4,5), (-2,6)}
Yes, each input has exactly one output.
100
Evaluate f(2) if f(x)=-3x
f(2)=-6
100
State the domain and range: (3,7),(5,9),(3,8)
D:{3,5} R:{7,8,9}
100
A snow vendor collects data on the number of snow cones he sells per day and the daily temperatures? What is the dependent variable?
What is the number of snow cones?
100
Identify the independent and dependent variable. Then write a function in function notation for the given information: A limo service charges $90 for each hour.
Independent: number of hours Dependent: total charge Function: f(x) = 90x
200
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the points fail the vertical line test.
200
f(7) if f(x)=-(4x+2)
f(7)=-30
200
What is the range of the following relation? {(5,-2),(-3,-2),(0,-2),(-2,-2)}
{-2}
200
A teacher wants to see if there is a relationship between her students' test scores and the amount of time they study. What is the independent variable?
amount of time they study
200
Identify the independent and dependent variable. Then write a function in function notation for the given information: Carson charges $7 per hour for yard work.
Independent: number of hours Dependent: total charge Function: f(x) = 7h
300
Is it a function and why?
(2,4)
(1,5)
(2,6)
No, input has two different outputs.
300
Evaluate f(-6) if f(x)=x^2-9
f(-6)=27
300
Find the range of the following function? y=2x
the Set of All Real Numbers? Could also be written as negative infinity to positive infinity
300
Independent Variables are the labels on the ______axis?
X-Axis
300
In this function, which part of the function represents the y-variable or dependent variable? (f(x) or x?) f(x)=3x +2
f(x)
400
Does (2,3), (5,6), (8,1) pass the vertical line test?
Yes
400
Evaluate f(x)=9 if f(x)=25-4x
x=4
400
Find the range of the following function? 
[0]
400
in the following function, which is the independent variable? (x or y?) y = 3x + 2
the X
400
Identify the independent and dependent variable. Then write a function in function notation for the given information: Meg earns a $5 flat fee plus $4.50 per student for a tutoring session.
Independent: number of students Dependent: money earned Function: f(x) = 5 + 4.5x
500
Does (5,9),(5,8) pass the vertical line test?
No
500
Evaluate f((x)=42 if f(x)=3x+15
x=9
500
What is the range of the function below? y = 3x {Domain: 0,1,2,3,4)}
{0,3,6,9,12}
500
in the following equation, what is the dependent variable? (P or s?) P = 4s
P
500
What is the range of the function below if the domain is {0,1,2,3,4}? f(x) = 2x-1
{-1,1,3,5,7}