se the table below of the function f(x) = x4  − 2x3  to answer this question: xf(x)−13001−120327what is the average rate of change from x = −1 to x = 2?

The average rate of change from x=-1 to x=2 is -1

Solution:

f(x)=x^4-2x^3

x   f(x)

-1    3

0    0

1     -1

2    0

3   27

Average rate of change from x=-1 to x=2: r=?

Average rate of change from x=a to x=b: r=[f(b)-f(a)]/(b-a); a=-1, b=2

a=-1→f(a)=f(-1)=3 See table

b=2→f(b)=f(2)=0 See table

Replacing the values in the formula:

r=(0-3)/(2-(-1))

r=(-3)/(2+1)

r=(-3)/(3)

r=-1

The average rate of change from x=-1 to x=2 is -1

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?