Type:Interactive, Lesson Plan
This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Getting started - Functions
In this mini-lesson, you'll learn what functions are and understand concepts such as relation, notation, domain and range of a function. Some of the high level definitions of these concepts are being mentioned below -- we suggest you to go through the explanation provided in the video by our instructor. Here are a few high level definitions:
- A function is a relation between two sets of values, where the second value (the “output") is uniquely determined by the first value (the "input").
- A relation is a collection of ordered pairs. If the pair has real numbers, e.g. (5, 2), then the relation may be graphed on a pair of coordinate axis and they may satisfy a formula. For example, Set A is all the people in a class and Set B are their height. The pairing of names with corresponding height is a relation.
- If every element of Set A has a unique image in a Set B, then it is a function. E.g., y = f(x) = x2 + 2, means for every value of x we get a unique value of f(x). If y is completely determined by a quantity x, then y is the function of x, denoted by f(x). For example, the area of a circle with radius r is denoted by f(x) = ?r2.
- Domain is all the possible values of x and the range is all the resulting possible values of y.
- A mapping, f: A?B in which each element of set A is the image of at least one element in set B.
This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.
- Mathematics > General
- Mathematics > Algebra
- Education > General
- Grade 9
- Grade 10
- Grade 11
- Grade 12
Keywords:function video relation range formula example graph domain video sets value ordered pairs online algebra real number quantity practice questions quizzes solution
License Deed:Creative Commons Attribution 3.0