Function: A rule for a relationship between an input, or independent, quantity and an output, or dependent, quantity in which each input value uniquely determines one output value.

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 …

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, …

When a function f is defined with a rule or an equation using x and y for the independent and dependent variables, we say, “y is a function of x” to emphasize that y depends on x.

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. …

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.

In these notes we will cover various aspects of functions. We will look at the definition of a function, the domain and range of a function, and what we mean by specifying the domain of a …