Nonlinear Functions

SAT Math· difficulty 5/5

Two functions: f(x)=1001.1xf(x) = 100 \cdot 1.1^x and g(x)=100xg(x) = 100 \cdot x. Which statement is true?

  • A

    They are equal for all x>0x > 0

  • B

    f(x)f(x) eventually exceeds g(x)g(x)

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  • C

    g(x)g(x) eventually exceeds f(x)f(x)

  • D

    They never intersect

Explanation

Exponential growth eventually dominates linear growth.

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