Use the following table of the function f(x) = x4 − 4x to answer this question:
x f(x)
-2 24
-1 5
0 0
1 -3
2 8
what is the average rate of change from x = −1 to x = 2?
a. −3
b. −1
c. 1
d. 3

we have

Step 1

Using the table find the value of f(x) for

Step 2

Using the table find the value of f(x) for

Step 3

Find the average rate of change

we know that

the average rate of change is equal to the formula

in this problem we have

substitute the values in the formula

therefore

the answer is the option C

the average rate of change is

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event