Vocabulary
Evaluating Function Rules
Input & Output
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
You and a friend are studying for a quiz. You want to get a higher score than your friend, so you decide to spend exactly 20 more minutes studying than your friend does. The relationship between these two variables can be expressed by the equation y=f+20, where f is the number of minutes your friend spends studying, and y is the number of minutes you spend studying. Identify the input and output.
Input: The number of minutes your friend spends studying.
Output: The number of minutes you spend studying.
100
State the domain and range:
| x | y |
| 3 | 7 |
| 5 | 9 |
| 3 | 8 |
Domain: {3, 5}
Range: {7, 8, 9}
100
Explain why this IS a function. {(2, 3), (4, 5), ( -2, 6)}
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
Identify the input: When you work 5 hours, you make $100
Input: 5 hours
200
List the domain and range of the following set:
{(9,1), (-6, -7), (-1, -9)}
Domain = {9, -6, -1}
Range = {1, -7, -9}
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
Identify the output:
Your parents pay you an allowance based on the number of chores you complete.
Output: Your allowance
300
Given the function f(x) = -7x + 3 find the range when the Domain = {0, 1, 20}
Range = {3, -4, -137}
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
When is a relation not a function?
When there is more than one output for an input
400
Given f(x) = 2x + 1, solve for f(3)
y = 7
400
Identify the input AND output: You are buying boxes of cookies at a bakery. Each box of cookies costs $4.
You buy 3 boxes and it costs $12
Input: The number boxes of cookies purchased.
Output: How much you spend at the bakery.
400
Given the function f(x) = 5, what is the range?
Range = 5
Domain is all numbers
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
Given f(x)=25 - 5x, solve for f(5)
y = 0
500
Identify the input and output: On your math quiz, you earn 5 points for each question that you answer correctly.
Input: Number of questions answered correctly.
Output: Score on the quiz.
500
State the domain and range: 
D: {1, 2, 3, 4, 5, 6} R: {-1, 0, 1, 2, 3, 6}
500
Is y=2x+3 a function?
Yes, it passes the vertical line test.