Express in functional (algebraic equation) notation the following using f(x)

Question

The function being add 1, take the square root and divide by 2.

f(x)=

Answer 1

f(x) = ( (x + 1)^(1/2) ) / 2

or

f(x) = (1/2) * ( (x + 1)^(1/2) )

Note: ^(1/2) means square root, its another way of writing it since I don't have access to tools to graphically draw it for you. The best I can do with the graphical notation is this: f(x) = √(x+1) / 2. I like the first two ways to show this because it makes it clear what the order of operations should be.

Understanding functions is really important for you to be able to succeed in the rest of your math classes in school. When you think of functions, the key is to understand what the input(s) are to the function...

So when we have a function 'f' and we want to pass it in a parameter 'x', we write 'f(x) =' and the left side is actually what happens to that input to then derive an outcome...or 'output'. Example: consider the function 'increase by 1', it could be written as f(x) = x + 1, so anytime a number is passed in (substituted for x), the result of f(x) = x + 1 = y. f(1) = 2, f(2) = 3 ... etc

It's really important to understand inputs and outputs of a functions. Especially when you start having multivariable functions like this... g(x, y) = x^2 + y^2, now you have to consider both variables.