Machine Learning - Supervised Learning Defined

Supervised learning: Given a sequence of data, i.e. (x1, y1), ... , (xn, yn). x's (x sub i) are the data points and the y's (y sub i) might be the class, or the value. Choose a function f(x) = y. A new x would be the input and the output is y, or f(x). There would need to be some type of algorithm for f(x) to be able to approximate the correct value for the output