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There are 5 lessons in this math tutorial covering Reciprocal Graphs. The tutorial starts with an introduction to Reciprocal Graphs and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Reciprocal Graphs. you can access all the lessons from this tutorial below.
In this Math tutorial, you will learn:
So far, we have explored the structure of lines produced by equations that contain polynomials (or monomials) in terms of a single variable (usually denoted by x) on their right side, while the right side always contains the variable y. We have explained multiple times that x is called an independent variable, as its values depend only on the user's choice (i.e. the user gives some values to this variable by his/her choice), while y is called a dependent variable, as its values depend on the values chosen for the variable x and on the formula that combines them.
For example, y = 2x, y = 3x - 1, y = x2, y = 2 - 5x3, y = x2 - 3x + 1, y = x3, y = 2x3 - 3x2 + x - 2, etc., are all equations that belong to this category, i.e. that contain a polynomial on the right side. Despite differences, all these equations have a common feature: they don't have any limitations in the values chosen for the independent variable x, as well as those of the dependent variable y resulting from the operations. In other words, we were not concerned about whether the y-values make sense for any value chosen for the variable x.
Now, we will explore some other lines produced by equations that have some limitations in the values chosen. The first of this set of equations is called "reciprocal". Let's see what this type of equation represents and what kind of graph it produces.
Please select a specific "Reciprocal Graphs" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.
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