The zero at x 0 will not cross the x axis since its

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Unformatted text preview: end. A good example of this is the graph of -x3. Okay, now that we’ve got all that out of the way we can finally give a process for getting a rough sketch of the graph of a polynomial. Process for Graphing a Polynomial 1. Determine all the zeroes of the polynomial and their multiplicity. Use the fact above to determine the x-intercept that corresponds to each zero will cross the x-axis or just touch it and if the x-intercept will flatten out or not. ( ) 2. Determine the y-intercept, 0, P ( 0 ) . 3. Use the leading coefficient test to determine the behavior of the polynomial at the end of the graph. 4. Plot a few more points. This is left intentionally vague. The more points that you plot the better the sketch. At the least you should plot at least one at either end of the graph and at least one point between each pair of zeroes. © 2007 Paul Dawkins 257 College Algebra We should give a quick warning about this process before we actually try to u...
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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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