Function Notation
Part 1
Part 1
Function Notation
Part 2
Part 2
Independent & Dependent
Domain & Range
Is it a Function?
100
Use the graph y=f(x). What is f(3)?
f(3)=0
100
Evaluate f(2) if f(x)=-3x
f(2) = -6
100
True or false:
For functions, x is the dependent variable and y is the independent variable.
False
100
State the domain and range:
| x | y |
| 3 | 7 |
| 5 | 9 |
| 3 | 8 |
D: {3, 5}
R: {7, 8, 9}
100
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
200
Use the graph of y=f(x). What is f(1)?
f(1) = -4
200
Evaluate f(7) if f(x)= 4x+2
f(7) = 30
200
Identify the independent (x) variable:
The relationship between the number of hours worked and the amount of money earned.
The number of hours worked.
200
State the domain and range: 
D: {1, 2, 3, 4, 5, 6}
R: {-1, 0, 1, 2, 3, 6}
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.
300
Use the graph y=f(x).
What is the value of x when f(x) = 0? 
x = -3
300
Evaluate g(6) if g(x)=x2 - 9
f(6) = 27
300
Identify the dependent (y) variable:
The relationship between your allowance and the number of chores you do.
Your allowance.
300
State the domain and range: 
D: [-4, inf)
R: (-inf, inf) or all real numbers
300
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
400
Charlie worked for a stone setting company this past summer. The linear function E(t) = 50 + 30t represents Charlie’s earnings, E(t), as a function of time worked, t, in hours.
How much would he earn if he worked 7 hours?
E(7) = $260
He would earn $260.
400
f(x)=25 - 4x
Find x if f(x)=9.
x = 4
400
Identify the independent (x) and dependent variables (y):
You are buying boxes of cookies at a bakery. Each box of cookies costs $4.
Independent Variable: The number boxes of cookies purchased.
Dependent Variable: How much you spend at the bakery.
400
State the domain and range:
D: (-inf, inf) or All real numbers
R: (0, inf)
400
Is it a function? Justify your answer.
Yes, it passes the Vertical Line Test.
500
Charlie worked for a stone setting company this past summer. The linear function E(t) = 50 + 30t represents Charlie’s earnings, E(t), as a function of time worked, t, in hours.
How many hours would he have to work to earn $140?
E(t)=140
t=3
He would have to work 3 hours.
500
g(x)=3x+15
Find x if g(x)=42.
x = 9
500
Identify the independent (x) and dependent (y) variables:
On your math quiz, you earn 5 points for each question that you answer correctly.
Independent Variable: Number of questions answered correctly.
Dependent Variable: Score on the quiz.
500
State the domain and range:
D: (-inf, inf) or all real numbers
R: (-inf, inf) or all real numbers
500
Is it a function? Justify your answer. 
Yes, each input has exactly one output, passes the vertical line test