Question 141715
Use the intermediate value theorem to determine whether g(x)=4x^3-3x+3 has a zero between -2 and -1
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g(-2) = 4*(-2)^3-3*-2+3 = -23
g(-1) = 4*(-1)^2-3*-1+3 = 2
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Since g is a continuous function and g(-2)<0 while g(-1)>0, g 
must pass thru g(c)=0 for some c between -2 and -1.
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Cheers,
Stan H.