# Writing absolute value functions from graphs

Instead, we will mostly use the geometric definition of the absolute value: The absolute value of a number measures its distance to the origin on the real number line. We are ready for our first inequality. Graphing Single Variable Inequalities Worksheets These Inequality Worksheets will produce problems for graphing single variable inequalities. You may select which type of inequality and the type of numbers to use in the problems. You may choose to have the student to graph the inequalities, write the equation of the graphed inequality, or both.

These Inequality Worksheets are a good resource for students in the 5th Grade through the 8th Grade. One Step Inequalities by Adding and Subtracting These Inequality Worksheets will produce graphing problems for one step inequalities by adding and subtracting. You may select which type of inequality to use in the problems. One Step Inequalities by Multiplying and Dividing These Inequality Worksheets will produce graphing problems for one step inequalities by multiplying and dividing.

One Step Inequalities by Adding, Subtracting, Multiplying, and Dividing These Inequality Worksheets will produce graphing problems for one step inequalities by adding, subtracting, multiplying, and dividing.Student Lesson: Absolute Value Functions Student Lesson: Absolute Value Functions TEKS: a(5) Tools for algebraic thinking.

Techniques for working with functions and equations are essential in understanding underlying relationships. 2A.4A The student is expected to identify and sketch graphs of parent functions. In this graphing absolute value functions learning exercise, 9th graders solve and complete 12 different types of problems.

First, they graph each equation shown on the appropriate graph provided, Then, students solve for each variable. The absolute value function is commonly used to measure distances between points. Applied problems, such as ranges of possible values, can also be solved using the absolute value function.

The graph of the absolute value function resembles the letter V. It has a corner point at which the graph changes direction. Here is a set of practice problems to accompany the Absolute Value Inequalities section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University.

This means we can write this absolute value function as a piecewise function. Notice that we can get the “turning point” or “boundary point” by setting whatever is inside the absolute value to 0. To graph absolute value, you can type "abs" or use pipe brackets (near the top right corner of most keyboards).

You can also use the absolute value symbol in the Desmos keyboard.

Absolute Value Functions Examples