Use the table below of the function f(x) = x4 − 2x3 to answer this question:

x f(x)

−1 3
0 0
1 -1
2 0
3 27

what is the average rate of change from x = −1 to x = 2?
a. −3
b. −1
c. 1
d. 24

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.