Evaluate the Sum Using the Given Information $x _ { 1 } = 4 , x _ { 2 } = 3 , x _ { 3 } = - 1 , x _ { 4 } = - 4$

Multiple Choice

Evaluate the sum using the given information.
- $x _ { 1 } = 4 , x _ { 2 } = 3 , x _ { 3 } = - 1 , x _ { 4 } = - 4$ , and $\Delta x = 0.9 ; f ( x ) = x ^ { 2 } - 5$
$$\sum _ { \mathrm { i } = 1 } ^ { 4 } \mathrm { f } \left( \mathrm { x } _ { \mathrm { i } } \right) \Delta \mathrm { x }$$

A) $20.8$
B) $16.7931$
C) $79.2$
D) $19.8$