Question
Question 9 (Mandatory) (1 point) ✓ Saved Given the function y=2x^(3)-3x^(2)-5x+1 , which finite differences will be equal (or constant)? a) first differences b) second differences c) third differences d) sixth differences Question 10 (Mandatory) (1 point) ✓ Saved Given the function y=4x^(3)-11 , the third differences will all equal a) 24 b) 12
Solution
4.2
(315 Votes)
Xanthe
Master · Tutor for 5 years
Answer
1.c 2.a
Explanation
1. For the function
:First differences: -6, 0, 18, 48, 90, 144Second differences: 6, 18, 30, 42, 54Third differences: 12, 12, 12, 12From the above, we can see that the third differences are constant, which means the answer for the first question is option c (third differences).2. For the function
, the third differences are all 24. Hence, the answer for the second question is option a (24).