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The graph of y=x^2 is shown in the figure. What is the average rate if change of this function over the interval -1

The graph of y=x^2 is shown in the figure. What is the average rate if change of this-example-1
User Courage
by
7.9k points

1 Answer

2 votes

Answer:

The average rate of change of the function h(x) over the interval between 2 points (a , h(a)) and (b ,h(b)) is the

slope of the secant line

connecting the points.

It is found using.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

h

(

b

)

h

(

a

)

b

a

2

2

−−−−−−−−−−−−−−−−

h

(

b

)

=

h

(

2

)

=

2

2

+

3

(

2

)

1

=

9

h

(

a

)

=

h

(

0

)

=

1

9

(

1

)

2

0

=

10

2

=

5

This means that the average of all the slopes of tangents between (2 ,9) and (0 ,-1) is 5

User Sasha Nikolic
by
9.1k points

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