Circles come up often in mathematics and in our lives.  The question is, how does the concept of a function relate to a circle? So, can a circle be a function?  A circle cannot be a...

Quadratic functions are often used in mathematics, especially when solving quadratic equations by graphing.  If you are wondering exactly what a quadratic definition is, I have a simple...

Probability is used to calculate the chance that an event will happen.  There are certain rules for probability that help to keep this concept well-defined, including total probability. So,...

Parabolas appear frequently in mathematics.  These graphs have a beautiful symmetry and are useful for solving quadratic equations – but are they functions? So, is a parabola a...

Quadratic equations come up all the time in algebra, as do binomials.  You might be hoping for some shortcuts for factoring quadratic binomials – luckily, there are some that you can...

Expected value (also called mean) is often used in probability and statistics to help describe data sets or to predict outcomes.  However, this raises the question of what types of values we can...