Question 1052669
 graph this rational function {{{ g(x) = (4x^2+7x-2)/(x^2+4) }}}
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Pick values for x and find y [ y = g(x) ]
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x = 0: y = -2/4 --> (0,-1/2)
x = 1: y = 9/5 --> (1,9/5)
etc
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Make an Excel sheet if you have that.
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dl the FREE graph software at
www.padowan.dk
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Use Ins, then enter (4x^2+7x-2)/(x^2+4)
Pick your color.
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You can make a table and the graph with the software.