![piecewise function absolute value piecewise function absolute value](https://i.ytimg.com/vi/hvvKmaq3M1M/maxresdefault.jpg)
PIECEWISE FUNCTION ABSOLUTE VALUE MOVIE
Maybe we'll get a Lifetime movie deal out of the story of reuniting these lost siblings. If we find a point on one half of the graph, we can use it to find its twin on the other half. We can also see that the whole graph is symmetric across the vertex, at x = 0. The whole world turns on the vertex…or at least the whole function does. This is called the vertex of the absolute value function. The two halves of the graph come to a point at (0, 0). To that end, let's make a table of a couple values and see what pops out. Something particular to sink our teeth into and leave a mark on the page. Sample ProblemĪ function is all well and good, but to make the graph, we need specifics. Like play a smashing song on their lutes. Playing On Our AbsoLuteĪbsolute value functions can do a lot more than what we've already seen. That f( x) just has a positive outlook on life, just like y =| x|.įor us to meet here again, it must be fate that, or mathematics.
![piecewise function absolute value piecewise function absolute value](http://www.mathskey.com/userfiles/image/Library/Q&A/graph_the_piecewise_function_f(x)=2x-19_f(x)=-2x+5.gif)
In this piecewise function, f( x) is positive when x is negative, and f( x) is positive when x is positive. It should, because it's exactly the same. The graph y = | x| is about the simplest absolute value graph we can come across.ĭoesn't this graph look familiar? It looks exactly the same as the piecewise function that we talked about in the last unit. We say conveniently because absolute value graphs look like V’s too. They conveniently always fly in a V shape. Or at least the formation that geese fly in. Naturally, if absolute values are absolute, then so are absolute value functions. The only absolute thing in this world is absolute value.