A function f is called an algebraic function if it can be constructed using algebraic operations such as addition, subtraction, multiplication or division or taking radical sign (Starting with polynomial).

Here are a few examples of functions. We will look at them in more detail during the lecture. Very important are polynomials, trigonometric functions, the exponential and logarithmic function. …

The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross any of the graphs in more than one place, it is a function.

For each of the examples below, determine whether the mapping makes sense within the context of the given situation, and then state whether or not the mapping represents a function.

Function: A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, …

To express the relationship in this form, we need to be able to write the relationship where p is a function of n, which means writing it as p = [something involving n].

Function Notation/Evaluating a Function: The notation y = f (x ) provides a way of denoting the value of y (the dependent variable) that corresponds to some input number x (the independent …