Evaluating Function Rules
Discrete Domain & Range
Types of Functions
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
Which variable is the input, and which one is the output?
x-variable is the input, y-variable is the output
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 the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
200
Is this a function?
x| 1 2 3 -1 -2
y| 5 5 5 5 5
Yes, there are no repeating x values.
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)=-3x+9
f(-6) = 27
300
What is the definition of domain?
A set of input values (all values of x).
300
How does this shift the absolute value graph?
f(x) = |x| - 3
Down 3
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
How does this shift the absolute value graph?
f(x) = |x+5|
Left 5
400
Is this a function?
Yes, 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
How does this shift the absolute value graph?
f(x) = |x - 1| + 4
Right 1, Up 4
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