Carter French
03/04/2023 · Middle School
Using the intermediate value theorem, determine, if possible, whether the function \( f \) has at least one real zero between \( a \) and \( b \). \( f(x)=x^{3}+5 x^{2}-7 x-6 ; a=-8, b=-4 \) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice A. By the intermediate value theorem, the function does not have at least one real zero between a and \( b \) because \( f(a)=\square \) and \( f(b)=\square \). (Simplify your answers.) B. By the intermediate value theorem, the function has at least one real zero between a and \( b \) because \( f(a)=\square \) and \( f(b)=\square \). (Simplify your answers.)
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B. By the intermediate value theorem, the function has at least one real zero between \( a \) and \( b \) because \( f(a) = -142 \) and \( f(b) = 38 \).
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