Vocabulary
Evaluating Function Rules
Domain & Range
Is it a Function?
Solving Systems of Equations by GRAPH
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
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.
100
Graph the following equations and identify the solution(s), if any.
y=5x+2
y=3x
(-1, -3)
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
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.
200
Graph the following equations and identify the solution(s), if any.
y=-3x+2
y=2xx-3
(1, -1)
300
What is the test to tell if a graph is a function?
What is the Vertical Line Test?
300
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
300
State the domain and range:
{(4, -2), (4, 2), (16, -2), (16, 2)}
D: 4, 16 R: -2, 2
300
Is it a function? Justify your answer.
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Yes, it passes the Vertical Line Test.
300
Graph the following equations and identify the solution(s), if any.
5x+2y=-2
y=-3x-2
(-2, 4)
400
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
400
Evaluate f(-6) if f(x)=x^2 - 9
f(-6) = 27
400
State the domain and range:
{(-2, 3), (3, 4), (2, 3)}
D: -2, 3, 3 R: 3, 4
400
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
Graph the following equations and identify the solution(s), if any.
y=-3x-2
1+2y=-3
(0, -2)
500
Explain how the Vertical Line Test determines if a relation is a function.
A function can only have one output for every input (or one y value for every x value). The vertical line (equation x= a number) will show that at any one x value, how many y values.
500
Evaluate f(x)=42 if f(x)=3x^2+15
x = 3 or -3
500
State the domain and range:
{(3, -2), (0, 1), (1,0), (-2, -1), (2, 1)}
D: -2, 0, 1, 2, 3 R: -2, -1, 0, 1
500
Is it a function? Justify your answer.
Yes, each input has exactly one output.
500
Graph the following equations and identify the solution(s), if any.
5x-4y=3
3x+2y=15
(3, 3)