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Compare Long-Run Growth of Function Families
Grade Level
Praxis Core
5165.112 Compare Long-Run Growth of Function Families
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Consider the functions quadratic f(x)=x
2
and linear g(x)=10x. Which statement correctly describes their long-run growth as x becomes very large?
A
The function with the highest degree or exponential form eventually grows faster when compared over large x-values.
B
The function with the smallest starting value always grows faster forever.
C
Linear functions always outgrow every other function after enough time.
D
The function with the smaller coefficient always has the greater long-run growth.
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