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. 

The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...

Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...

No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...

Watch as your knowledge of quadratic functions grows parabolically. An educational video shows scholars how to graph quadratic functions. The method shown here is to create a table of values and graph the function by hand.

Graphing functions by hand is pretty easy. A comprehensive video reviews how to graph different function types. It looks at the constant, identity, quadratic, cubic, absolute value, square root, cube root, reciprocal, and squared...

It's a straight line to understanding how to graph linear functions. Scholars watch an informative video to learn the process of graphing linear functions. They understand how to make and fill in a table of values and then plot the...

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.

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...

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...