Complete the table by computing at the given values of x.Use the results to guess at if it exists.
A)x 1 5 10 100 1,000 f(x) 18 614 4,989 4,990,089 4,999,000,089
B)x 1 5 10 100 1,000 f(x) 18 614 4,439 4,989,539 4,998,999,539
C)x 1 5 10 100 1,000 f(x) 18 614 5,896 4,990,996 4,999,000,996
D)x 1 5 10 100 1,000 f(x) 18 614 4,914 4,990,014 4,999,000,014

Question

Complete the table by computing  at the given values of x.Use the results to guess at  if it exists.  
A)x 1 5 10 100 1,000 f(x) 18 614 4,989 4,990,089 4,999,000,089 
B)x 1 5 10 100 1,000 f(x) 18 614 4,439 4,989,539 4,998,999,539 
C)x 1 5 10 100 1,000 f(x) 18 614 5,896 4,990,996 4,999,000,996 
D)x 1 5 10 100 1,000 f(x) 18 614 4,914 4,990,014 4,999,000,014

Quizplus · Accepted Answer

Based on the given values of x, the function f(x) seems to be increasing exponentially. Therefore, by extrapolation, a reasonable guess for 11eb12b0_aa55_8eec_b394_41b40fc79177_TB7866_11 would be the value obtained by plugging in a large value of x, such as 1,000 or 10,000. The closest value to these options is 1,000, so plugging in x = 10,000 may result in some error. Based on this logic, choice D with x=1,000 seems to be the best guess for the missing value.

Complete the Table by Computing at the Given Values