SOLUTION: use the intermediate value theorom to determine, if possible whether g(x)=2x^3+3x^2-3x+4 has any real zeroes between -2,-1. show your work

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Question 1137126: use the intermediate value theorom to determine, if possible whether g(x)=2x^3+3x^2-3x+4 has any real zeroes between -2,-1. show your work
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
g%28-2%29=2%28-2%29%5E3%2B3%28-2%29%5E2-3%28-2%29%2B4
g%28-2%29=2%28-8%29%2B3%284%29-3%28-2%29%2B4
g%28-2%29=%28-16%29%2B%2812%29%2B%286%29%2B4
g%28-2%29=6
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.
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g%28-1%29=2%28-1%29%5E3%2B3%28-1%29%5E2-3%28-1%29%2B4
g%28-1%29=2%28-1%29%2B3%281%29-3%28-1%29%2B4
g%28-1%29=%28-2%29%2B%283%29%2B%283%29%2B4
g%28-1%29=8
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.
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Since there is no change in sign, the intermediate value theorem can't be used to determine if there a zero in the interval [-2,-1]