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Use the Intermediate Value Theorem to Determine Whether the Polynomial f(x)=6x43x3+4x3f ( x ) = 6 x ^ { 4 } - 3 x ^ { 3 } + 4 x - 3

Question 108

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given
integers
- f(x) =6x43x3+4x3f ( x ) = 6 x ^ { 4 } - 3 x ^ { 3 } + 4 x - 3 ; between 1- 1 and 0


A) f(1) =2\mathrm { f } ( - 1 ) = 2 and f(0) =3\mathrm { f } ( 0 ) = 3 ; no
B) f(1) =2f ( - 1 ) = - 2 and f(0) =3f ( 0 ) = - 3 ; no
C) f(1) =2f ( - 1 ) = - 2 and f(0) =3f ( 0 ) = 3 ; yes
D) f(1) =2f ( - 1 ) = 2 and f(0) =3f ( 0 ) = - 3 ; yes

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