Difference between revisions of "Graph a Rational Function"
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A rational function is an equation that takes the form ''y'' = N(''x'')/D(''x'') where N and D are polynomials. Attempting to sketch an accurate graph of one by hand can be a comprehensive review of many of the most important high school math topics from basic algebra to differential calculus. Consider the following example: ''y'' = (2''x''<sup>2</sup> - 6''x'' + 5)/(4''x'' + 2). | A rational function is an equation that takes the form ''y'' = N(''x'')/D(''x'') where N and D are polynomials. Attempting to sketch an accurate graph of one by hand can be a comprehensive review of many of the most important high school math topics from basic algebra to differential calculus. Consider the following example: ''y'' = (2''x''<sup>2</sup> - 6''x'' + 5)/(4''x'' + 2). | ||
| − | [[Category:Coordinate Geometry]] | + | [[Category: Coordinate Geometry]] |
== Steps == | == Steps == | ||
#'''Find the ''y'' intercept.''' Simply set ''x'' = 0. Everything but the constant terms vanish, leaving ''y'' = 5/2. Expressing this as a coordinate pair, (0, 5/2) is a point on the graph. [[Graph Points on the Coordinate Plane|Graph that point]]. | #'''Find the ''y'' intercept.''' Simply set ''x'' = 0. Everything but the constant terms vanish, leaving ''y'' = 5/2. Expressing this as a coordinate pair, (0, 5/2) is a point on the graph. [[Graph Points on the Coordinate Plane|Graph that point]]. | ||
