Comparing Functions Represented in Different Ways
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Find the maximum of
f
(
x
)
=
−
2
(
x
−
3
)
2
+
5
f(x)=-2(x-3)^2+5
f
(
x
)
=
−
2
(
x
−
3
)
2
+
5
.
QUESTION
Which is decreasing on all real numbers:
f
(
x
)
=
3
2
x
+
1
f(x)=\frac{3}{2}x+1
f
(
x
)
=
2
3
x
+
1
or
g
(
x
)
=
−
2
x
+
5
g(x)=-2x+5
g
(
x
)
=
−
2
x
+
5
?
QUESTION
A table shows
f
(
0
)
=
2
f(0)=2
f
(
0
)
=
2
and
f
(
1
)
=
5
f(1)=5
f
(
1
)
=
5
. What is the average rate of change on
[
0
,
1
]
[0,1]
[
0
,
1
]
?
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ANSWER
3
3
3
. Change in y divided by change in x:
(
5
−
2
)
/
(
1
−
0
)
=
3
(5-2)/(1-0)=3
(
5
−
2
)
/
(
1
−
0
)
=
3
.
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