Vocabulary
Evaluating Function Rules
Independent & Dependent
Domain & Range
Is it a Function?
100
Another name for the set of input values or x
What is the domain.
100
Evaluate f(2) if f(x)=-3x
What is -6?
100
You and a friend are studying for a quiz. You want to get a higher score than your friend, so you decide to spend exactly 20 more minutes studying than your friend does. The relationship between these two variables can be expressed by the equation y=x+20, where x is the number of minutes your friend spends studying, and y is the number of minutes you spend studying. Identify the independent (x) and dependent (y) variables.
Independent (x) Variable: The number of minutes your friend spends studying. Dependent (y) Variable: The number of minutes you spend studying.
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
Another name for output values or y?
What is range?
200
Evaluate f(7) if f(x)= -(4x+2)
What is -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
Is 3x + 4y = 12 a function? the domain and range:
R: {-1, 0, 1, 2, 3, 6}
200
Is 42 + y2 = 15 a linear function?
No
300
A relationship between input and output values. Each input has exactly one output value.
What is the definition of a function?
300
Evaluate f(-6) if f(x)=x^2 - 9
What is 27?
300
Identify the dependent (y) variable: The relationship between your allowance and the number of chores you do.
Your allowance.
300
Function or not: 
No
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 or
(x - independent, y - dependent)
400
Evaluate f(x)=25 - 4x and x is 5
What is 5?
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
what is the range of this function?
What is 3, 1, -1, 2, 5
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
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
List the domain of this function.
D: {1, 2, 3, 4, 5, 6}
500
Is it a function? Justify your answer. 
Yes, each input has exactly one output.