se the table below of the function f(x) = x4 − 2x3 to answer this question:
Answer: 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
Answer: The average rate of change from x=-1 to x=2 is -1
