Rational Functions

In this Pre-Calculus/Calculus activity, students graph polynomial functions, identifying the x- and y-intercepts as well as end behavior.  The two page activity contains sixty problems.  Answers are included. 

In this introduction to polynomial function worksheet, students classify, state the degree, find the intercepts, and evaluate polynomial functions. Six of the problems are true/false problems and thirty-eight and free-response problem...

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...

In this inverse functions worksheet, learners review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...

In this linear function instructional activity, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page instructional activity contains examples,...

In this introduction to differentiation worksheet, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students sketch the...

What do musicians and mathematicians have in common? Compositions! Learners review function composition in the previous video in a series of 29, and expand that review to include the domain of the composition. The instructor uses...

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.

Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...

Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...