# How to write an absolute value function That's just like multiplying it by negative 1. Both of these would satisfy this equation.

### Absolute value function domain and range

And one way you can interpret this, and I want you to think about this, this is actually saying that the distance between x and 5 is equal to The horizontal axis? Until the s, the so-called spiral nebulae were believed to be clouds of dust and gas in our own galaxy, some tens of thousands of light years away. Add 1 to both sides of this equation, you get 4x is equal to negative So it would look like this. Solve an absolute value equation. We also notice that the graph appears vertically stretched, because the width of the final graph on a horizontal line is not equal to 2 times the vertical distance from the corner to this line, as it would be for an unstretched absolute value function. So it's going to go through that line, that point right there. Solving an Absolute Value Inequality Absolute value equations may not always involve equalities. When x is greater than negative 3, this is positive.

That's if we didn't constrain it to a certain interval on the x-axis. And you can already think of the solution to this equation, but I'll show you how to solve it systematically. Yes, they always intersect the vertical axis.

So this is equal to negative x minus 3. Let's do another one. As such, it is useful to consider distance in terms of absolute values. So these are the two solutions to the equation. An absolute value equation is an equation in which the unknown variable appears in absolute value bars.

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