NoBrains12
contestada

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

Respuesta :

-1 hope this helpz man
kudzordzifrancis

ANSWER

The average rate of change from [tex]x=-1[/tex] to [tex]x=2[/tex]  is [tex]-1[/tex]

EXPLANATION

The average rate of change from [tex]x=-1[/tex] to [tex]x=2[/tex]

[tex]=\frac{f(2)-f(-1)}{2-(-1)}[/tex]


From the table,

[tex]f(2)=0[/tex] and [tex]f(-1)=3[/tex].


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



[tex]Average\:Rate\:of\:Change=\frac{0-3}{2+1}[/tex]


[tex]=\frac{-3}{3}[/tex]


[tex]=\-1[/tex]


The correct answer is B