Evaluate the function for the given values of a and \( b \). Then use the intermediate value theorem to determine which of the statements below \( a=-2 \) and \( b=-1 \) \( f(x)=3 x^{3}+6 x^{2}+8 x+9 \) A. \( f(-2) \) and \( f(-1) \) have the same sign, therefore the intermediate value theorem cannot be used to determine whether the function \( f \) has B. \( f(-2) \) and \( f(-1) \) have opposite signs, therefore the function \( f \) does not have a real zero between -2 and -1 . C. \( f(-2) \) and \( f(-1) \) have opposite signs, therefore the function \( f \) has a real zero between -2 and -1 . D. \( f(-2) \) and \( f(-1) \) have the same sign, therefore the function \( f \) has a real zero between -2 and -1 .
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