Algebra 1 Quiz
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CONSTRUCT & COMPARE FUNCTIONS
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Which statement about growth rates is true for sufficiently large
x
x
x
?
A
A linear function like
100
x
100x
100
x
eventually grows faster than a cubic like
x
3
x^3
x
3
.
B
A quadratic like
x
2
x^2
x
2
eventually grows faster than any exponential like
1.05
x
1.05^x
1.0
5
x
.
C
An exponential like
1.05
x
1.05^x
1.0
5
x
eventually grows faster than any polynomial like
x
10
x^{10}
x
10
.
D
All polynomials eventually grow faster than all exponentials.
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