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Nonlinear Functions

SAT Math· difficulty 3/5

For large xx, which order ranks growth rates from slowest to fastest?

  • A

    x2, 2x, x, xx^2,\ 2^x,\ x,\ \sqrt{x}

  • B

    x, x, x2, 2xx,\ \sqrt{x},\ x^2,\ 2^x

  • C

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

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  • D

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

Explanation

Square root grows slowest, then linear, then polynomial, then exponential.

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