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).

Mia says that a circle graph is not a function because multiple values of x map to the same y-value. Determine if either one is correct, and justify your answer completely.

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. You …

Representations of a Function We can represent a function in several different ways: Verbally (by a description in words) Numerically (by a table of values) Visually (by a graph)

Practically, what this function is asking us to do is map elements in Z over to new elements in Z, where the directions on the map, described by the function, are to multiply something by 2.

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 variable).

1.3 Composite functions or more functions. For example, the function x ↦ 2 x + 5 is the function ‘multiply by and then add 5’. It is a combination of the two func g : x ↦ 2 x f : x ↦ x + 5 (the function ‘multiply …