Comparing Linear, Quadratic, Polynomial, Exponential Growth
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Identify whether
f
(
x
)
=
2
x
2
−
3
x
+
1
f(x)=2x^2-3x+1
f
(
x
)
=
2
x
2
−
3
x
+
1
is linear, polynomial (nonlinear), or exponential.
QUESTION
Identify whether
f
(
x
)
=
4
x
+
7
f(x)=4x+7
f
(
x
)
=
4
x
+
7
is linear, polynomial (nonlinear), or exponential.
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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