What is the average rate of change of the function f(x) on the interval 6 < x < 8

Step-by-step explanation:

The

average rate of change

of f(x) 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

(

9

)

=

9

2

−

6

(

9

)

+

8

=

35

and

f

(

4

)

=

4

2

−

6

(

4

)

+

8

=

0

The average rate of change between (4 ,0) and (9 ,35) is

35

−

0

9

−

4

=

35

5

=

7

This means that the average of all the slopes of lines tangent to the graph of f(x) between (4 ,0) and (9 ,35) is 7.

b) the dogs need to shift their focus to human scent.

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!