school
Acemy

Nonlinear Functions

SAT Math· difficulty 3/5

For which function does an inverse function exist (over its entire domain)?

  • A

    f(x)=x3f(x) = x^3

    check_circle
  • B

    f(x)=x2f(x) = x^2

  • C

    f(x)=x2−4f(x) = x^2 - 4

  • D

    f(x)=∣x∣f(x) = |x|

Explanation

An inverse exists if the function is one-to-one (passes the horizontal line test). f(x)=x3f(x) = x^3 is strictly increasing.

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