Answered

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?

x | f(x)

-5 -150

-3 -36

-1 -2

0 0

1 0

2 4


A-40
B-8
C8

d)32

Verified Answer :

ayeshaaman58

a)-40  is the correct answer                                              

Answer:

Option c) 8 is the answer.

Step-by-step explanation:

Given table is

x         -5      -3       -1       0        1        2

f(x)    -150   -36      -2      0        0       4

We have to find the rate of change of f(x) over the period of x  [-3, 2]

Since rate of change of x = \(\frac{\delta f(x)}{\delta x}\)

Now we have been given \(\delta x=x_{2}-x_{1}\)

and \(\delta x=2-(-3)=5\)

Similarly \(\delta f(x)=f(x_{2})-f(x_{1})\)

\(\delta f(x)=36-(-4)=36+4=40\)

Now rate of change of f(x) will be = \(\frac{40}{5}=8\)

Option C is the answer.

Related Questions