Vocabulary
Evaluating Function Rules
Input & Output
Domain & Range
Is it a Function?
100
What is the definition of domain?
A set of input values (all values of x).
100
Evaluate f(2) if f(x)=-3x
f(2) = -6
100
Identify the output variable (y) for the function below:
Gallons of gas put in tank vs. Amount of $ forGas
Ouput (y) : Amount of $ for Gas
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
What is the definition of range?
The set of output values (all values of y).
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
200
Identify the input (x): 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 these two points, does the graph of the points (1,3) and (1,5) represent a function?
No, the same input has two outputs.
300
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
300
Evaluate f(-6) if f(x)=x^2 - 9
f(-6) = 27
300
Identify the Output (y) variable: The relationship between your allowance and the number of chores you do.
Your allowance.
300
State the domain and range: 
D: 0 to 16 hours
R: 0 to 14 km
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
Which variable is the input, and which one is the output?
(Which one is the x-variable, which one is the y-variable?)
x-variable is the input, y-variable is the output
(x - independent, y - dependent)
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
Identify the input (x) and output variables (y): You are buying boxes of cookies at a bakery. Each box of cookies costs $4.
Input: The number boxes of cookies purchased. Output: How much you spend at the bakery.
400
State the domain and range: 
D: 0 to 18 hours
R: 0 to 8 km
400
Is it a function? Justify your answer.
Yes, it has one output for each input.
500
What is a function that has different rules for the domain called?
A piecewise function
500
Evaluate f(x)=42 if f(x)=3x+15
x = 9
500
Identify the input (x) and output (y) variables: On your math quiz, you earn 5 points for each question that you answer correctly.
Input Variable: Number of questions answered correctly. Ouput Variable: Score on the quiz.
500
D: 0 to 4 [0,4]
4: 0 to 5 [0, 5]
500
Is it a function? Justify your answer. 
Yes, each input has exactly one output.