# How to write absolute value equations as piecewise functions

Obtaining Equations from Piecewise Function Graphs You may be asked to write a piecewise function, given a graph. However, if we put a logarithm there we also must put a logarithm in front of the right side. This is commonly referred to as taking the logarithm of both sides. This is easier than it looks. It works in exactly the same manner here. Both ln7 and ln9 are just numbers. Admittedly, it would take a calculator to determine just what those numbers are, but they are numbers and so we can do the same thing here.

Also, be careful here to not make the following mistake. We can use either logarithm, although there are times when it is more convenient to use one over the other. There are two reasons for this. So, the first step is to move on of the terms to the other side of the equal sign, then we will take the logarithm of both sides using the natural logarithm.

Again, the ln2 and ln3 are just numbers and so the process is exactly the same. The answer will be messier than this equation, but the process is identical. Here is the work for this one. That is because we want to use the following property with this one. Here is the work for this equation. In order to take the logarithm of both sides we need to have the exponential on one side by itself.Algebra Examples.

## Piecewise functions

Step-by-Step Examples. Algebra. Absolute Value Expressions and Equations. Write the Absolute Value as Piecewise. The piecewise polynomials are when and when. Remove parentheses.

## David Lippman and Melonie Rasmussen

Solve for when. Jul 17,  · Taking absolute value of a negative thing (the part below the x-axis) makes it positive, i.e. flips that little nose of the parabola up above the x-axis, to make those y-values positive.

The other part of the original parabola was already above the x-axis, so taking absolute Status: Resolved. Precalculus: An Investigation of Functions (2nd Ed) David Lippman and Melonie Rasmussen.

IMPORTANT NOTE: This page contains details on the current, second edition of the ashio-midori.com you are looking for the original first edition (black cover), please go here..

Used and loved by over 6 million people Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals. More Practice: Use the Mathway widget below to try write an. Piecewise Function. Click on Submit (the blue arrow to the right of the problem) and click on Write the Absolute Value as Piecewise to see the answer. Piecewise Functions A Function Can be in Pieces. We can create functions that behave differently based on the input (x) value. A function made up of 3 pieces.

Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus . Section Solving Exponential Equations.

## Eleventh grade Lesson Write Absolute Value Functions as Piecewise Functions

Now that we’ve seen the definitions of exponential and logarithm functions we need to start thinking about how to solve equations involving them.

Absolute Value Piecewise Functions Hit the "play" button on the player below to start the audio. You can use the forward and back buttons to navigate between the lesson's pages.

Precalculus: An Investigation of Functions (2nd Ed) David Lippman and Melonie Rasmussen. IMPORTANT NOTE: This page contains details on the current, second edition of the ashio-midori.com you are looking for the original first edition (black cover), please go here..

Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including .

Absolute Value Piecewise Functions - MathOps