(ap calc) the graph of the function f shown above has three line

The rate of change for f, in the interval -1 ≤ x ≤ 6, is 0.

Given to us,

Interval -1 ≤ x ≤ 6,

The average rate of change of any function in the closed interval [ a, b ] is given by,

As given to us the interval here is b=6 and a=-1, thus

f(b) = f(6) = 0

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

The rate of change for f,

Hence, the rate of change for f, in the interval -1 ≤ x ≤ 6, is 0.

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B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 1, 6 ] and from the graph

f(b) = f(6) = 0

f(a) = f(- 1) = 0, thus

average rate of change = = = 0

the line of