Texas Gateway: Rational Functions: Predicting the Effects of Parameter Changes

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...

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

Parameters can move and change the steepness of a graph. Introduce the effects of changing the slope or the y-intercept of a linear graph. The resource shows how to incorporate changes on graphs and how they will move up, move down,...

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

Through a mini assessment, students identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a function...

In these questions, students identify asymptotes and removable discontinuities of rational functions, simplify rational expressions, and solve rational equations. Solutions and explanations are included.

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

These multiple-choice and fill-in-the-blank questions ask students to identify asymptotes, holes, and domain for rational functions.

In this set of questions, students are asked to investigate rational functions to find vertical, horizontal, and oblique asymptotes as well as x- and y-intercepts. Questions are multiple choice and true/false with solutions provided.

This TI InterActive! activity is an algebra test which examines the student's understanding of Rational Functions.