In this article, we will learn how to find the domain and range of a rational function either by using its graph or by using definite algebraic rules. We will start by doing a brief review of what domain and range mean. Then, we will look at the methods used to find...

Graphs of functions can be used to determine the domain and range. The graphs give us an idea of which values of x and which values of y are being taken. Many times this can be enough to fully determine the domain and range. However, there will be...

Quadratic functions are some of the relationships that we will always find in the study of algebra. One of the important characteristics of these functions is their domain and range. Here, we will start with a quick review of what the domain and range of a function...

Complex numbers are the numbers that are expressed in the form a+bi, where a and b are real numbers and “i” is the imaginary unit. The imaginary unit value is the square root of negative one, i = (√-1). For example, 5 + 3i is a complex number, where 5 is a real number...

An imaginary number is a number that, when squared, has a negative result. In other words, imaginary numbers are defined as the square root of negative numbers and have no tangible value. These numbers cannot be quantized on the number line. However, imaginary numbers...

The first mention of complex numbers is around 50 BC when finding a square root of a negative number. However, it was in 1545 that Cardano found these numbers formally while trying to obtain the roots of an equation. Complex numbers were standardized in 1777 when...