Back to Compare exponential and polynomial growth — Problem 3 · 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

The table below shows values for $f(x) = 1000x$ and $g(x) = 2^x$ .

$x$	$f(x) = 1000x$	$g(x) = 2^x$
1	1,000	2
5	5,000	32
10	10,000	1,024
15	15,000	32,768

At which $x$ -value shown in the table does $g(x) = 2^x$ first
exceed $f(x) = 1000x$ ?