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:
y = 360(1.03)x
Step-by-step explanation:
F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. 
The principal amount of the money = $360
Annual rate of interest = 3%
Thus, the amount after x years which is increased by 3%.
Since, this amount represented by y,
The required equation that represents the amount of money in Josiah’s account, y, after x years is, 
This amount represented by y,
Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,
Hope this helps you!
Have a nice evening! ;)
Answer:
y = -4x - 1
Step-by-step explanation:
Do the slope formula first to find the slope. Next do point slope form to find the y intercept and write the equation in slope intercept form.
The function for conversions from Fahrenheit to Celsius is:
Celsius = (Fahrenheit - 32) x 5/9
C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5
Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius.
