Vocabulary
Evaluating Function Rules
Independent & Dependent
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
The relationship between the number of minutes you spend studying and the score you get on a quiz.
Which is independent and dependent variable: minute spent studying or score on a quiz. Identify the independent (x) and dependent (y) variables.
Independent (x) Variable: The number of minutes spent studying.
Dependent (y) Variable: The score on a quiz
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 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
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 dependent (y) variable: The relationship between your allowance and the number of chores you do.
Your allowance.
300
State the domain and range: 
D: x≥-4 R: All Real numbers or (-∞, ∞)
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
or 9 = 25 - 4x
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: x ≠−2
R: y ≤ 3
400
Is it a function? Justify your answer.
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Yes, it passes the Vertical Line Test.
500
What is the test to tell if a graph is a function?
Vertical Line Test
500
Evaluate f(x)=42 if f(x)=3x+15
or 42 = 3x+15
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: (-∞, ∞) R: (-∞, ∞)
500
Is it a function? Justify your answer.
Yes, each input has exactly one output.