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Mathematics
Mathematics
Problem
Identify the correct expression for the average rate of change of
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
from
x
=
a
x=a
x
=
a
to
x
=
b
x=b
x
=
b
(with
a
≠
b
a\neq b
a
=
b
). a)
f
(
a
)
−
f
(
b
)
b
−
a
\dfrac{f(a)-f(b)}{b-a}
b
−
a
f
(
a
)
−
f
(
b
)
b)
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
)
h
\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a)}{h}
h
→
0
lim
h
f
(
a
+
h
)
−
f
(
a
)
c)
f
(
b
)
−
f
(
a
)
b
−
a
\dfrac{f(b)-f(a)}{b-a}
b
−
a
f
(
b
)
−
f
(
a
)
d)
f
(
a
)
+
f
(
b
)
b
−
a
\dfrac{f(a)+f(b)}{b-a}
b
−
a
f
(
a
)
+
f
(
b
)
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