Graphs and FunctionsA series of free Basic Algebra Lessons from Brightstorm online Algebra series.
Plotting Points and Naming Quadrants As we learn how to graph, we will need a thorough knowledge of the fundamentals of graphing: plotting points and identifying coordinates. One of the most important things to know is the terminology of what we call the Cartesian coordinate system, or an xy graph. Plotting points will be useful when we start to interpret graphs and graph lines using a table of values.
Interpreting Graphs It's important to learn about interpreting graphs so that we can understand graphing which is a fundamental part of Algebra and later math courses. Interpreting graphs involves understanding what the shape of a curve represents in real life situations. We should also understand what slope means and how to interpret what a high or low slope value represents. An understanding of plotting points is also important.
Relations and Determining Whether a Relation is a Function Understanding relations (defined as a set of inputs and corresponding outputs) is an important step to learning what makes a function. A function is a specific relation, and determining whether a relation is a function is a skill necessary for knowing what we can graph. Determining whether a relation is a function involves making sure that for every input there is only one output.
Function Notation Throughout mathematics, we find function notation. Function notation is a way to write functions that is easy to read and understand. Functions have dependent and independent variables, and when we use function notation the independent variable is commonly x, and the dependent variable is F(x). In order to write a relation or equation using function notation, we first determine whether the relation is a function.
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