# How to write absolute value equations as piecewise equations in standard

Y is equal is to the absolute value of x plus three. Now in previous videos we have talked about it. If you replace your x, with an x plus three, this is going to shift your graph to the left by three. Math Home Search Dr. Piecewise Notation and Absolute Value Using piecewise notation, write x in terms of y for the following equation: Is there another way to do this rather than graphing? Please describe the method. Those parts are the "pieces" in "piecewise notation.

When is it negative? To finish the problem, figure out what y is in each part of the graph: I hope that helps! Write back if you need more help. Piecewise Notation and Absolute Value - explanation on forum Hello, I'm writing to you for clarification on this problem.

I have tried looking up the answer but cannot find an explanation to the specific problem that you have already demonstrated. I was thinking that maybe the 'positive' section would have the equality because you included the question "When is 2 - x positive or zero?

Thank you so much! More generally, when a piecewise function is continuous, it doesn't matter which "piece" we put the junctions with. So technically, Doctors Sam and Sydney made a mistake in implicitly answering the question "When is 2 - x positive or zero?

Ideally, they would have been more careful -- or just explained why, in the end, it made no difference. Thank you Piecewise Notation and Absolute Value - explanation on forum Thank you thank you thank you so much!!!

Very very helpful and cleared things up a lot:The only absolute thing in this world is absolute value. Naturally, if absolute values are absolute, then so are absolute value functions.

Naturally, if absolute values are absolute, then so . Piecewise-Defined, Composite, and Inverse Functions p. 99 • absolute value equation • absolute value inequality • constraints • consistent • inconsistent Equations, 1 Inequalities, Functions ESSENTIAL QUESTIONS How are linear equations and systems of equations.

Engaging math & science practice! Improve your skills with free problems in 'Writing Basic Absolute Value Equations Given the Graph' and thousands of other practice lessons.

The only places where we need to break the function into "pieces" are those points where the expression inside each absolute value becomes zero. Learn how to solve absolute value equations and how to graph absolute value functions. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more.

In an absolute value equation, an unknown variable is the input of an absolute value function. If the absolute value of an expression is set equal to a positive .

Solving absolute value equations and inequalities (Algebra 1, Linear inequalitites) – Mathplanet