Back to Compare exponential and polynomial growth — Problem 1 · Task Set 58

Exercises: Compare Exponential and Polynomial Growth

Work through each section in order. Show your work where indicated.

Grade 9·21 problems·~30 min·Common Core Math - HS Functions·group·hsf-le-a-3

Work through problems with immediate feedback

Fluency Practice

At what value of $x$ does $g(x) = 2^x$ first exceed $f(x) = 1000x$ ?

Use these reference values: at $x = 13$ , $f = 13{,}000$ and $g = 8{,}192$ ; at $x = 14$ , $f = 14{,}000$ and $g = 16{,}384$ ; at $x = 15$ , $f = 15{,}000$ and $g = 32{,}768$ .

Enter the first integer $x$ where $g(x) > f(x)$ .