The Data in the Table Are Generated by the Function $f ( x ) = a e ^ { - b x }$

Multiple Choice

The data in the table are generated by the function $f ( x ) = a e ^ { - b x }$ . Approximate the unknown constants a and b to four decimal places. x
1 2 3 4
F ( x )
0) 71939 0.41687 0.24157 0.13998

A) $a = 1.2414 , a = 0.5456$
B) $a = 0.0000 , a = 0.5456$
C) $$a = 0.5456 , a = 0.5456$$
D) $a = 1.2414 , a = 0.0000$
E) $a = 0.5456 , a = 1.2414$