Graphing a Rational Function

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. 

Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.

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...

This time, try graphing three segments. Another Mathispower4u Algebra I Video provides an additional example on graphing a piecewise function. Pupils observe how to graph a function that is made from two constant functions and one linear...

We look at several examples of functions and see their domain. Sal writes the domain in set notion and shows how different functions can have different input values that cause the function to be undefined.

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

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.

Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...

This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.