Function Notation

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

To evaluate a function at a specific value, substitute the value into the function in place of the variable. For example, to find f(2) in f(x) = 2x + 1, replace x with 2.

f(1) means to substitute 1 for x in the function, resulting in f(1) = 2(1) + 1.

f(-2) = -2 + 3 = 1.

In function notation, it is written as f(x) = 2x - 3.

The first step is to plug a 1 in for all the x's in the function.

Finding f(2) means to substitute 2 for x in the function.

f(1) = 2(1) + 1 = 3.

f(3) = 3^2 = 9.

The domain of a function is the set of all possible input values (x-values) for which the function is defined.