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All Things Functions
Vocabulary
100
If the input is 6, and the rule is divide by 2 what is the output?
3
100
If the input is 6 and the rule is 2x-6 what is the output? (x= input)
6
100
If the output is 12, and the rule is add 5 what is the input?
7
100

True or False: For a relation to be considered a function, each input can have more than one output.

False. Each input has exactly one output to be considered a function.

100
What is a function?
The relation that assigns exactly one input and one output value.
200
If my input is 40, and the rule is the divide by 5 what is my output?
8
200
If the input is 25 and the rule is 2x+2, what is the output? (x=input)
52
200
If the output is 17, and the rule is subtract 9 what is the input?
26
200

What is an ordered pair?

A pair of numbers written as (x,y), where x is the input and y is the output.

200
What is the function rule?
The thing that describes the relationship between the input and output.
300
If the input is 18, and the rule is subtract 9 what is the output?
9
300

If the input 7 is and the rule 5x+2 is what is the output? (x=input)

37

300
If the output is 12, and the rule is multiply by 2 what is the input?
6
300

Identify the independent variable: "The cost of renting a bike depends on the number of hours rented."

What is "number of hours rented"?

300
What is a function table?
The table that you can organize the input and output, and the function rule in.
400
If the input is 46, and the rule is to multiply by 3 what is the output?
138
400
If the input is 12 and the rule is x/3 + x/2 what is the output? (x=input)
10
400
If the output is 15, and the rule is divide by 3 what is the input?
45
400

Is the following relation a function? {(3, 4), (5, 6), (3, 7)}

No, because the input 3 is paired with two outputs (4 and 7).

400
What is an independent variable, and why?
The input, because it does not rely on anything.
500
If the input is 81 and the rule is divide by 3 what is the output?
27
500

If the input is 10 and the rule is 4x + x; what is the output? (x= input)

50
500
If the output is 7 and the rule is divide by 6 what is the input?
42
500

Identify the dependent variable: You’re driving at a constant speed. The distance you travel depends on the time you’ve been driving.

The distance.

500
What is a dependent variable, and why?
The output, because it depends on the input.