Which of the following functions is one-to-one?

A) $f ( x ) = | x |$
B) $g ( x ) = x ^ { 2 }$
C) $h ( x ) = 6$
D) $F ( x ) = x - 6$
E) $G ( x ) = \lfloor x \rfloor$

Question

Which of the following functions is one-to-one?

A) $f ( x ) = | x |$
B) $g ( x ) = x ^ { 2 }$
C) $h ( x ) = 6$
D) $F ( x ) = x - 6$
E) $G ( x ) = \lfloor x \rfloor$

Quizplus · Accepted Answer

Function D, $F(x) = x - 6$, is one-to-one because for every unique input $x$, there is a unique output $F(x)$. This linear function passes the horizontal line test, meaning no horizontal line intersects the graph of the function at more than one point.

Which of the Following Functions Is One-To-One? A) f(x)=∣x∣f ( x ) = | x |f(x)=∣x∣

Which of the Following Functions Is One-To-One?

A) $f ( x ) = | x |$