Graphing Rational Functions

Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 

Sal takes your class’ newfound (or growing) knowledge of graphs of lines to the next level. He presents a few word problems in which mathematicians need to understand how to use linear function graphs.

Number 11 in the practice section of The Official SAT Study Guide begins with finding the perimeter of a given triangle. Once students solve this multiple-choice question, they can find ways to solve the additional problems on the page,...

Make a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...

So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.

Take your kids on a tour of graphing rational functions. Using this TI lesson plan, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and...

Expand your knowledge on exponential growth! A concept video features the definition of an exponential function. Eight problem videos cover graphing exponential functions, identifying exponential growth and decay, and applying...

Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.

Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.

Challenge: Sketch a graph of a quadratic function without making a table of values. High schoolers learn how different parameters affect the graph of a quadratic function. The problem video focuses on dilations of quadratic graphs.