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's equation in place of the variable.

f(-2) = -2 - 5 = -7.

f(4) = 4 + 7 = 11.

Solving for x in a function means finding the value of x that makes the function equal to a specified value.

3x - 7 = 14; 3x = 21; x = 7.

4x - 10 = 10; 4x = 20; x = 5.

f(4) = 4 - 9 = -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) values) that the function can produce.