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.

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

Substitute 8 into the function: f(8) = 2(8) + 1 = 17.

Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 17 = 2 - 5 - 17 = -20.

'Plugging in' a value for x means to replace the variable x in the function's expression with the given value.

Substitute 0 into the function: f(0) = -3(0-1) = -3(-1) = 3.

The output of a function represents the value that corresponds to the input when the function is applied.

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

The range of a function is the set of all possible output values (y-values) that the function can produce.