Question

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

Answer 1

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

$\frac{0-0}{3+1}=0$

Answer 2

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