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Graphing Absolute Value Equations

- How do I make one of those V graphs?

Definition of Absolute Value

- x x if x gt 0
- 0 if x 0
- -x if x lt 0
- That way it is always positive or 0

- (x if positive)
- (0 if 0)
- (opposite of x if negative)

What does the graph look like?

- V
- Minima lowest point of graph
- Vertex minima
- Sides are linear

- /\
- Maxima highest point of graph
- Vertex maxima
- Sides are linear

vertex

Why is the graph a V?

- Y xthere are 2 values of x that will work for

every y value. If x 3 and -3, y 3. - There is only one y value that will only have one

x value and that is called the vertex. - The vertex is where the expression insdie the

absolute value symbol is equal to zero

How do I graph the Equation?

- X-coordinate of the vertex is the value of
- Plug in the value of x and solve for y
- This the ordered pair for the vertex
- (x,y)

How do I graph the equation cont.

- Next, find x values to the left of the vertex and

to the right of the vertex - Solve for the y values

How do I graph the equation cont.

- Lastly, plot the points and connect them forming

a V or /\

Example

- Find vertex x 1 0 x 1

vertex

(1, 2)

Example

vertex

- Find x-coordinates to left and right, then
- solve for y- coordinate

(1, 2)

Left of vertex

Right of vertex

Example

- Plot the points

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presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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