Homework SourseUse intermediate value theorem to determine wether the polyn
Use intermediate value theorem to determine wether the polynomial function has a zero in the given interval.
F(x)=-5x^4-8x^2+7;[-1,0]
Use intermediate value theorem to determine wether the polynomial function has a zero in the given interval.
F(x)=-5x^4-8x^2+7;[-1,0]
F(x)=-5x^4-8x^2+7;[-1,0]
Solution
F(x)=-5x^4-8x^2+7
Interval [ -1, 0 ]
F(-1) = -5(-1)^4 - 8(-1)^2 +7 = -8
F(0) = 7
Since zero (0) is between F(-1) and F(0), it means by the intermediate value theorem, we conclude that f has a zero on the given interval [ -1, 0 ]
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