Comparing Linear, Quadratic, Polynomial, Exponential Growth
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
Identify the function type that eventually exceeds all polynomials: linear, polynomial, or exponential.
QUESTION
Which has constant first differences: linear
m
x
+
b
mx+b
m
x
+
b
or exponential
a
b
x
ab^x
a
b
x
?
QUESTION
Which grows faster for large
x
x
x
:
f
(
x
)
=
2
x
f(x)=2^x
f
(
x
)
=
2
x
or
g
(
x
)
=
100
x
3
g(x)=100x^3
g
(
x
)
=
100
x
3
?
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ANSWER
2
x
2^x
2
x
. Exponential with base
>
1
>1
>
1
eventually exceeds any polynomial.
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