Evaluating Function Rules
Discrete Domain & Range
Vocabulary
Is it a Function?
Continuous Domain and Range
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
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
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
100
What is the domain and range of the following?
Domain: all real numbers
Range: all real numbers
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
200
Find the domain and range of the following set:
{(9, 1) (-8, 0) (-1, 7) (0, 6) (-5, -7)}
D: {-8, -5, -1, 0, 9}
R: {-7, 0, 1, 6, 7}
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
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
What is the domain and range of the graph?
Domain: 0 <= x < infinity
Range: -2 <= y < infinity
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
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
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.
300
Identify the domain and range of the following:
D: -2 < x < 4
R: -3 <= y <= 3
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
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
Is it a function? Justify your answer.
Yes, it passes the Vertical Line Test.
400
What the domain and range of the following?
D: -2 <= x <= 6 R: -6 <= y <= 2
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
What is the test to tell if a graph is a function?
Vertical Line Test
500
Is it a function? Justify your answer.
Yes, each input has exactly one output.
500
Identify the domain and range of the following graph.
Range: y=-2
Domain: -infinity < x < inifinity