Solve the Problem $f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 14 x - 9$

Multiple Choice

Solve the problem.
-Given $f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 14 x - 9$ . Use the intermediate value theorem to determine whether f (x) has a zero on the interval [0, 1], find the zero if it exists.

A) 1
B) $\frac { 1 } { 2 }$
C) $- 1$
D) There is no zero on the interval.