Compare Linear and Exponential Growth
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the slope
m
m
m
in terms of two points
(
x
1
,
y
1
)
(x_1,y_1)
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
(x_2,y_2)
(
x
2
,
y
2
)
on a line?
QUESTION
What is the difference between consecutive outputs for
f
(
x
)
=
m
x
+
b
f(x)=mx+b
f
(
x
)
=
m
x
+
b
when
x
x
x
increases by
h
h
h
?
QUESTION
What is the common ratio
b
b
b
using two exponential values
f
(
x
)
f(x)
f
(
x
)
and
f
(
x
+
1
)
f(x+1)
f
(
x
+
1
)
?
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ANSWER
b
=
f
(
x
+
1
)
f
(
x
)
b=\frac{f(x+1)}{f(x)}
b
=
f
(
x
)
f
(
x
+
1
)
. Consecutive exponential values have ratio equal to the base.
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