Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

A) $f ( 1 ) = - 5$ and $f ( 2 ) = 13$ ; yes
B) $f ( 1 ) = 5$ and $f ( 2 ) = - 13$ ; yes
C) $f ( 1 ) = 5$ and $f ( 2 ) = 13$ ; no
D) $f ( 1 ) = - 5$ and $f ( 2 ) = - 13$ ; no