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What is the average rate of change of y = 1/3 (x-6)(x-2) over the interval 0

2 Answers

3 votes

Answer:2

Explanation:

User Yorgos
by
7.7k points
6 votes

Answer:

Explanation:

The

average rate of change

of y over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the

secant line

connecting the 2 points.

To calculate the average rate of change between the 2 points use.

a

a

f

(

b

)

f

(

a

)

b

a

a

a

−−−−−−−−−−−−−−−

f

(

4

)

=

4

2

+

4

+

1

=

21

and

f

(

1

)

=

1

2

+

1

+

1

=

3

The average rate of change between (1 ,3) and (4 ,21) is

21

3

4

1

=

18

3

=

6

This means that the average of all the slopes of lines tangent to the graph of y between (1 ,3) and (4 ,21) is 6.

User Apcelent
by
8.3k points

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