SOLUTION: Use the intermediate value theorem to show that the polynomial functions has zero in the given interval
{{{ f(x) = 4x^3+3x^2-7x+7 }}}; [-4,-2]
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Question 937062: Use the intermediate value theorem to show that the polynomial functions has zero in the given interval
; [-4,-2]
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The bounds of the interval are included. Check the signs of and . If opposite, then z zero occurs between them on the interval.
A report of not being satisfied, here I explain, hopefully better:
The goal is to learn if f crosses the x-axis on the given interval. The bounds of the interval ARE INCLUDED. Let x be the left shown bound and evaluate f. Let x be the right shown bound and evaluate f. Now LOOK AT THE SIGNS of these f values. Compare this to what the Intermediate Value Theorem says.
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