Use the definition of a one-to-one function to determine if the function is one-to-one.
-$f ( x ) = | x - 4 |$
A) No
B) Yes

Question

Quizplus · Accepted Answer

The function $f(x) = |x - 4|$ is not one-to-one because for different values of $x$ that are equidistant from 4 on either side, the function yields the same result. For example, $f(3) = |3 - 4| = 1$ and $f(5) = |5 - 4| = 1$, which means the function does not have a unique output for each unique input.

Use the Definition of a One-To-One Function to Determine If f(x)=∣x−4∣f ( x ) = | x - 4 |f(x)=∣x−4∣

Use the Definition of a One-To-One Function to Determine If $f ( x ) = | x - 4 |$