Answer:
D. 5
Step-by-step explanation:
From the information given:
The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
where; the two points are:
(-1 , f( -1) ) & ( 1, f(1) )
For f(1); we have:
f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2
f(1) = 1 + 3 - 5 + 2 -2
f(1) = - 1
For f( -1); we have:
(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2
= 1 - 3 - 5 -2 - 2
= -11
∴
[tex]=\dfrac{-1-(-11)}{1 - (-1)}[/tex]
[tex]=\dfrac{-1+11}{1 +1}[/tex]
[tex]=\dfrac{10}{2}[/tex]
= 5
