Back to Compare exponential and polynomial growth — Problem 1 · Task Set 57

HSF.LE.A.3 Tutor Intake — Exponential vs. Polynomial Growth

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Grade 9·10 problems·~14 min·Common Core Math - HS Functions·group·hsf-le-a-3

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Concepts

Which statement best describes what "eventually exceeds" means in
the principle that exponential growth eventually exceeds polynomial
growth?

The exponential function is larger than the polynomial for every
value of x.

There is some value of x beyond which the exponential function
is always larger than the polynomial.

The exponential function is larger than the polynomial for about
half of all x-values.

The exponential function grows faster only when its base is
greater than 2.