Vocabulary
Evaluating Function Rules
Domain & Range
Is it a Function?
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 of a horizontal line with the equation y = 4.
D: All Real Numbers
R: y = 4
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 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:
y = 2x - 3
D:All Real Numbers
R: All Real Numbers
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
State the domain and range: 
D: -4 ≤ x R: All Real Numbers
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?
x-variable is the input, y-variable is the output
(x - independent, y - dependent)
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
State the domain and range: 
D: x ≠−2 R: y ≤ 3
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
State the domain and range: x^2 + y^2 = 25
D: X goes from -5 to 5
R: y goes from -5 to 5
500
Is it a function? Justify your answer.
Yes, each input has exactly one output.