Vocabulary
Evaluating Function Rules
Write a Function Rule
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
The output of function A is given by adding 4 to the input, then multiplying the result by 2. Write a rule for Function A.
A(x) = 2(x + 4)
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? {(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
An equilateral triangle has three sides of equal length. Function P gives the perimeter of an equilateral triangle of side length s. Write a rule for Function P that gives the perimeter of the triangle with side length s.
P(s) = 3s
200
State the domain and range:
D: {1, 2, 3, 4, 5, 6}
R: {-1, 0, 1, 2, 3, 6}
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 test to tell if a graph is a function?
Vertical Line Test
300
Evaluate f(-6) if f(x)=x^2 - 9
f(-6) = 27
300
A cell phone plan from Company D costs $80 per month, with unlimited data. Write a function rule for Company D that gives the monthly cost of the cell phone plan.
D(x) = 80
300
State the domain and range: 
D: Any number greater than or equal to -4
R: Any number
300
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
400
What words are used to describe the variables that represent the input and output?
x - independent, y - dependent
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
Priya bought a plant for a science experiment. When she brought it home, the plant was 5 cm tall. Since then, the plant has grown 0.5 cm a week. Write a function rule for Function H, which describes the height of the plant after w weeks.
H(w) = 5 + 0.5w
400
State the domain and range: 
D: Any number except x = -2
R: Any number
400
Is it a function? Justify your answer.
Yes, it passes the Vertical Line Test.
500
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
500
Evaluate f(x)=42 if f(x)=3x+15
x = 9
500
Bo was offered a job after college earning a salary of $75,000. He will get a raise of $2,000 after each year working for the company. Write a rule for Function S, that gives the salary Bo earns after y years.
S(y) = 75000 + 2000y
500
State the domain and range of the absolute value function: f(x) = | x |
D: Any number
R: Any non-negative number
500
Is it a function? f(x) = 3x + 5
Yes, it will pass the vertical line test.