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 fx 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=

Respuesta :

adorapanda
let me know it this helps if not try mathway or another algebra website 
Ver imagen adorapanda
Ver imagen adorapanda
calculista

Answer:

the average rate of change is equal to [tex]0[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{3}-3x^{2}-x+3[/tex] -----> a cubic function

For [tex]x=-1[/tex]

The value of f)x) is equal to

[tex]f(-1)=0[/tex] -----> see the graph

For [tex]x=3[/tex]

The value of f(x) is equal to

[tex]f(3)=0[/tex] -----> see the graph

so

we know that

the average rate of change  using the graph is equal to

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

In this problem we have

[tex]f(a)=f(-1)=0[/tex]

[tex]f(b)=f(3)=0[/tex]

[tex]a=-1[/tex]

[tex]b=3[/tex]

Substitute

[tex]\frac{0-0}{3+1}=0[/tex]