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 point, substitute the value of the input variable into the function's expression and simplify.

It means that when the input to the function f is 3, the output is 4.

f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

To find the output, set f(x) = 19 and solve for x. In this case, x = 3.

The output of a function can be represented as an ordered pair (x, f(x)), where x is the input and f(x) is the output.

f(x) indicates that f is a function of x, meaning that the output depends on the value of x.

It tells us that when the input is 2, the output of the function is 4.

Substitute 2 into the function: f(2) = 2(2) + 1 = 4 + 1 = 5.

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