SOLUTION: 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)+4x^(2)-6x-13; a=-8, b=-4

Question 1131288: 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)+4x^(2)-6x-13; a=-8, b=-4
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

}

Now we know:
at , the curve is zero
at , the curve is zero
And, being a polynomial, the curve will be continuous, so somewhere in between the curve must cross through
Yes, there is a solution to in the interval [, ]

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