Texas Instruments: Absolute Values

This activity provides an opportunity for students to examine how to find solutions to an absolute value inequality.

Students will graph absolute value and piecewise functions on graphing calculators and see the effects of a, h, and k.

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values.

The students can use a StudyCards stack to learn how to solve absolute value equations and inequalities. Later, they will learn how to use the calculator graphing capabilities to solve the same type of problems in a new way.

Using both TI InterActive! and TI-Navigator, students become familiar with transforming the absolute value function y = A | x - B| + C.

Find the solution sets of absolute value inequalities like abs(x-3)5 using the equation editor (y=). Focus on finding the boundaries of inequality intervals.

Given 3-noncollinear points, find the absolute value that contains all 3 points.

This activity provides students an opportunity to discover the similarities involved in shifting the parent functions for absolute value, quadratic, cubic, radical, exponential, and logarithmic functions. Students will also be given the...

Explore transformations on an absolute value graph. Apply what you learn to Square root and x-squared equations.

Students play a game to identify the correct equation for the graph displayed. Through the game setting, they review graphs and equations of linear, quadratics, and absolute value functions.