Every function f has two sets associated with it: its domain and its codomain. function f can only be applied to elements of its domain. For any x in the domain, f(x) belongs to the codomain. …

Identify functions that have certain properties on given domains and codomains. Prove algebraically whether a function is injective, or surjective based on the formal definition.

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. …

Find the domain and range of a function. Determine whether a relation is a function. Use the vertical line test to determine whether a graph is the graph of a function. Express functions …

We begin this discussion of functions with the basic de nitions needed to talk about functions. De nition 1. Let X and Y be sets. A function f from X to Y is an object that, for each element x 2 X, …

Functions Study Guide 1. Domain and Range The domain of a function f is the set of possible inputs or x-values. For example: The domain of f(x) = x2 is (−∞, ∞). √ The domain of f(x) = x is …

THE LANGUAGE OF FUNCTIONS* In algebra you began a process of learning a basic vocabulary, grammar, and syntax forming the foundation of the language of mathematics. For …