Vocabulary
Evaluating Function Rules
Independent & Dependent
Change the Image
Is it a Function?
100
What is the test to tell if a graph is a function?
Vertical Line Test
100
Evaluate f(2) if f(x)=-3x
f(2) = -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
Write the table as ordered pairs (must be correct order)
| x | y |
| 3 | 7 |
| 5 | 9 |
| 3 | 8 |
(3, 7) (3, 8 ) (5, 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 question asking you to find:
f(3) = 2x + 4
If you plug in 3 for x, what will y be?
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
Write the graph as a table 
x y
1 3
2 1
3 -1
4 2
5 0
6 6
200
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the line will be vertical and it will hit more than 1 time.
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
Create a mapping for the graph ( use 5 input values) 
See board for answer
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
What variable is considered the independent variable?
x-variable is the input
400
Evaluate f(x)=9 if f(x)=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
Create a graph to show the following:
(2, 3) (4, -1) (5,6) (0,2)
See board for answer
400
How can you tell when a mapping is a function? (Explain or show an example)
Each input should have only 1 arrow coming out of it!
500
What are the 5 representations for a function?
Graph, ordered pairs, table, mapping, equation
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
Create a mapping for the following:
(2, 3) (2, 4) (4, 2) (0, -1) (2, -1) (2, 3)
See board for answer.
500
Is it a function? Justify your answer. 
Yes, each input has exactly one output.