Brief definition A function is defined as a rule pertaining to the relationship of the values of one variable to another set of variables. Mathematically, a function is a relation. It describes an input-output relationship of values where each output corresponds to a unique input. Learning functions is one of the basic foundations of algebra. As this topic is considered an advanced math lesson, learners begin to investigate the meaning of functions in 8th grade.
Here, they will differentiate functions from algebraic expressions, equations, and inequalities. They will also create functional models that will describe a real-life scenario. This extends until high school and college, wherein they solve operations involving functions and apply these learned concepts to understand calculus and trigonometry lessons. Advanced lessons include linear functions, quadratic functions, exponential functions, logarithmic functions, inverse functions, and more.
Importance of the Topic The lessons regarding functions are good foundations for understanding advanced algebra topics. Learning functions is a big leap in grasping pre-calculus lessons of conic sections. Aside from that, functions offer a variety of applications in real life that are undeniably useful in everyday living.
Application of the Learned Topic in Life There are a lot of applications of functions in life. Functions are usually used to describe the relationships between two variables. For example, the number of miles covered in every liter of gasoline, the tax that you need to pay in terms of your income, the age of the tree in reference to its annual growth rings, the price of goods based on their demand and/or supply, and many more.