Mathlamaredutermsaspx college algebra we need to note

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Unformatted text preview: h of the following piecewise function. if x < -2 ìx + 3 ï2 h ( x) = íx if - 2 £ x < 1 ï- x + 2 if x ³ 1 î Solution In this case we will be graphing three functions on the ranges given above. So, as with the previous example we will get function values for each function in its specified range and we will include the endpoints of each range in each computation. When we graph we will acknowledge which function the endpoint actually belongs with by using a closed dot as we did previously. Also, the top and bottom functions are lines and so we don’t really need more than two points for these two. We’ll get a couple more points for the middle function. x x+3 -3 -2 1 x x2 -2 4 -1 © 2007 Paul Dawkins 0 1 188 ( x, y ) ( -3, 0 ) ( -2,1) ( x, y ) ( -2, 4 ) ( -1,1) http://tutorial.math.lamar.edu/terms.aspx College Algebra 0 0 1 1 x -x + 2 1 1 2 0 ( 0, 0 ) (1,1) ( x, y ) (1,1) ( 2, 0 ) Here is the sketch of the graph. Note that in this case two of the portions met at the breaking point x = 1 and at the other breaking point, x = -2 , they didn’t meet up. As noted in the previous example sometimes they meet up...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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