Vocabulary
Evaluating Function Rules
Domain & Range
Is it a Function?
100
All relations are functions. (true or false)
No, the statement "all relations are functions" is false. While all functions are relations, not all relations are functions; a function requires each input to have exactly one output, which isn't a requirement for relations.
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.
200
What is a relation?
a relationship between two sets of values, often represented as ordered pairs, where the first element of each pair belongs to the first set (domain) and the second element belongs to the second set (range).
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
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
What is the definition of domain?
A set of input values (all values of x).
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
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
What is the definition of range?
The set of output values (all values of y).
400
Is it a function? Justify your answer.
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
State the domain and range:
D: {1, 2, 3, 4, 5, 6}
R: {-1, 0, 1, 2, 3, 6}
500
Is it a function? Justify your answer.
Yes, each input has exactly one output.