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

ANSWER

The average rate of change from to  is

EXPLANATION

The average rate of change from to

From the table,

and .

So we substitute in to the above expression for average rate of change.

The correct answer is B

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .