General Knowledge
Function Notation 1
Function Notation 2
Is it a Function?
Domain and Range
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 cost to manufacture x number of chairs can be represented by the function C(x)=36x. In this context, what does the statement C(63)=2268 mean?
FILL IN THE BLANK: It costs _____ to make _____ chairs.
It costs $2268 to make 63 chairs.
100
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
100
What's the domain and range?
All real numbers
200
What describes a function?
a) An input and output relationship
b) An independent and dependent variable relationship
c) For every domain value, there is one range value to go with it
d) all of the above
All of the above!
200
Find the value of x when f(x) = 12:
f(x) = -2x+6
x = -3
200
The cost for x gallons of heating oil can be represented by the function f(x)=4x+6. In the context of the problem, fill in the blank with the correct meaning of f(5) = 26.
It costs _____ to get _____ gallons of heating oil.
It costs $26 to get 5 gallons of heating oil.
200
Not a function
200
State the domain and range.
{(3,2), (4,1), (6,-2), (3,-1)}
Domain: 3,4, 6
Range: -2, -1, 1, 2
300
TRIVIA -
Which organelle is known as the powerhouse of the cell?
Answer: Mitochondria
300
What input(s) for this function result in an output of 3?
0 and 4
300
Keith is driving from Orlando to Tampa for a disc golf competition. He has 145 miles to drive and is traveling at 45mph.
The function f(x) = 145 - 45x represents the distance f(x) Keith has left to drive after x hours of driving. After 3 hours, how much farther does Keith have to drive?
f(3) = 145 - 45(3)
f(3) = 10
Keith has 10 miles to go
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
TRIVIA -
On the back of a dollar bill, what is in the center?
"ONE"
400
Is the graph below increasing, decreasing, or constant for the interval -3<x<0?
Decreasing
400
Evaluate f(4) if f(x)=25 - 4x
f(4) = 9
400
The table shows the inputs and outputs for the function f(x)=2x-3. What is the output when the input is 1?
-1
400
TRIVIA -
In the Harry Potter series, who is the Half-Blood Prince?
Severus Snape
400
What is the domain and range of this graph?
All real numbers
500
Is the following situation classified as discrete or continuous?
The temperature is slowly rising in a classroom where the air conditioning has gone out. It started at 72-degrees and now it's 80-degrees!
Continuous, because temperature doesn't rise 1-degree at a time. Decimal values for temperature exist.
500
Find the value of x when f(x) = 12:
f(x) = -2(-x-6)
x = 0
500
TRIVIA -
What is the longest river in South America?
The Amazon
500
Function!
It's ok that the 4 and 2 both point to 9.
500
What is the domain and range of the graph?
Domain:
-2<=x<=4
Range:
1<=y<=5