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Fudgin [204]
3 years ago
6

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

Mathematics
2 answers:
solmaris [256]3 years ago
7 0
A)-40  is the correct answer                                              

gizmo_the_mogwai [7]3 years ago
3 0

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.

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