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SabrinaE2000
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Use the following graph of the function f(x) = x3 − 3x2 − x + 3 to answer this question:



What is the average rate of change from x = −1 to x = 3?

-3

-1

0

3

Use the following graph of the function f(x) = x3 3x2 x + 3 to answer this question: What is the average rate of change from x = 1 to x = 3? -3 -1 0 3 class=

Verified Answer :

adorapanda

let me know it this helps if not try mathway or another algebra website

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View image adorapanda
calculista

Answer:

the average rate of change is equal to \(0\)

Step-by-step explanation:

we have

\(f(x)=x^{3}-3x^{2}-x+3\) -----> a cubic function

For \(x=-1\)

The value of f)x) is equal to

\(f(-1)=0\) -----> see the graph

For \(x=3\)

The value of f(x) is equal to

\(f(3)=0\) -----> see the graph

so

we know that

the average rate of change  using the graph is equal to

\(\frac{f(b)-f(a)}{b-a}\)

In this problem we have

\(f(a)=f(-1)=0\)

\(f(b)=f(3)=0\)

\(a=-1\)

\(b=3\)

Substitute

\(\frac{0-0}{3+1}=0\)


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