school
Acemy

Nonlinear Functions

SAT Math· difficulty 4/5

Which statement is true for large xx?

  • A

    x100>2xx^{100} > 2^x

  • B

    2x>x1002^x > x^{100}

    check_circle
  • C

    2x<x2^x < \sqrt{x}

  • D

    x100=2xx^{100} = 2^x

Explanation

Any exponential with base >1>1 eventually outgrows any polynomial.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode