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