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.

g(2) = 3(2) + 1 = 7.

f(x) represents the output of the function f for a given input x.

f(2) = 2² + 7 = 4 + 7 = 11.

f(4) = 2(4) + 1 = 8 + 1 = 9.

f(-1) = -3(-1) - 8 = 3 - 8 = -5.

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 (f(x) or y-values) that the function can produce.

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

f(x) and g(x) are different functions; they can have different rules or equations that define their outputs.