Function or Not a Function
Domain and Range
Function Notaion
Vocabulary
100
True or False-A relation is a set of ordered pairs
TRUE
100
State the domain and range:
| x | y |
| 3 | 7 |
| 5 | 9 |
| 3 | 8 |
D: {3, 5} R: {7, 8, 9}
100
Evaluate f(x)=-3x if x=2
-6
100
What is the definition of domain?
A set of input values (all values of x).
200
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
YES
200
State the domain and range: 
D: {1, 2, 3, 4, 5, 6}
R: {-1, 0, 1, 2, 3, 6}
200
Evaluate f(x)=2x+1 if x=-2
-3
200
What is the definition of range?
The set of output values (all values of y).
300
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
NO
300
State the domain and range:
(3,4), (2,-3), (1,2), (-7,9), (10,-12)
Domain: {3,2,1,-7,10}
Range: {4,-3,2,9,-12}
300
Evaluate f(x)=-3 - x if x=6
-9
300
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
400
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
NO, because the domain x=2 repeats
400
x y
3 7
4 7
5 7
Domain: 3,4,5
Range: 7
400
Evaluate f(x)=25 + 4x if x=5
45
400
What is the definition of an independent variable?
A variable whose values affect the values of another variable (dependent variable). It is usually found on the x-axis of a graph. All input or x-values.
500
Is it a function?
No, because it fails the Vertical Line Test.
500
What is the domain and range? {(2, 3), (4, 5), ( -2, 6)}
Domain: -2,2,4
Range: 3,5,6
500
Evaluate f(x)=-(4x+2) if x=7
-30
500
What is the test to tell if a graph is a function?
Vertical Line Test