Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter 
, while the output, also known as dependent variable, is often indicated with the letter 
.
With this notation, we write 
, read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.
In your example, you have 
, which means "subtract four times the input (4x) from 2"
So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:
- Pick an input value, x
- Multiply it by four to get 4x
- Subtract this number from 2: 2-4x
Here are some examples of explicit calculations: if I choose 
and input, the workflow will be
- Pick an input value, 2
- Multiply it by four to get 8
- Subtract this number from 2: 2-8=-6
So, if the input is 2, the output is -6
Similarly, if we choose 
as input, we have:
- Pick an input value, 0
- Multiply it by four to get 0
- Subtract this number from 2: 2-0=2
So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.
Answer:
Step-by-step explanation:
When dividing fractions, the formula is simple: Keep Flip Change (KFC)
So keep 
change your division sign to a multiplication sign, and flip 
so it becomes 
.
·=
Then you need to reduce your fraction to simplest form.
The juice container that is 1 gallon
Answer:
Step-by-step explanation:
9=1+8×-8
9= 9x -8
9+8 =9x
17=9x
x=17/9
hope this helps
Answer: 120 Miles
Step-by-step explanation:
We start with $140.
The initial payment is $50.
$140 - $50 = $90
We now have $90 dollars to spend on miles.
$90/$0.75 per mil = 120 Miles
Using the remaining $90 we can drive 120 miles in a week.
