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

A) $f ( x ) = 2 e + 1$
B) $g ( x ) = \sqrt [ 3 ] { x }$
C) $h ( x ) = - x ^ { 2 }$
D) $F ( x ) = - | x |$
E) $G ( x ) = - \frac { 1 } { x ^ { 2 } }$

Question

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

A) $f ( x ) = 2 e + 1$
B) $g ( x ) = \sqrt [ 3 ] { x }$
C) $h ( x ) = - x ^ { 2 }$
D) $F ( x ) = - | x |$
E) $G ( x ) = - \frac { 1 } { x ^ { 2 } }$

Quizplus · Accepted Answer

B) $g(x) = \sqrt[3]{x}$ is one-to-one because for every x value, there is a unique y value, and it passes the horizontal line test, meaning no two different x values will map to the same y value.

Which of the Following Functions Is One-To-One? A) f(x)=2e+1f ( x ) = 2 e + 1f(x)=2e+1

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

A) $f ( x ) = 2 e + 1$