CrossFit415 said:
A function is a mathematical relationship between an input and an output. It takes an input, performs a specific operation, and produces an output.
The domain of a function is the set of all possible input values. The range is the set of all possible output values. In other words, the domain is the x-values and the range is the y-values.
To determine if two functions are equal, you must check if they have the same domain, range, and rule. The rule refers to the equation or set of instructions that the function follows to produce an output from an input.
The composition of functions is the process of combining two functions to create a new function. The output of the first function becomes the input of the second function, resulting in a new output.
To evaluate a composition of functions, you must substitute the input of the first function into the second function, and then substitute the result into the first function. This process continues until you reach a final output.