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Mathematics
Problem
(a) Find the average rate of change of
f
(
x
)
=
2
x
+
3
f(x)=2x+3
f
(
x
)
=
2
x
+
3
as
x
x
x
increases from
1
1
1
to
4
4
4
. (b) Find the average rate of change of
g
(
x
)
=
x
2
g(x)=x^{2}
g
(
x
)
=
x
2
over the same interval. (c) Which of the two functions exhibits a constant average rate of change over any interval?
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