Determine whether the function $f ( x ) = | x + 5 |$ is one-to-one.
A) one-to-one
B) not one-to-one

Name: Determine whether the function $f ( x ) = | x + 5 |$ is one-to-one. A) one-to-one B) not one-to-one
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Question

Quizplus · Accepted Answer

The function $f(x) = |x + 5|$ is not one-to-one because for different values of $x$ (e.g., $x_1 = -6$ and $x_2 = -4$), the function yields the same result ($f(-6) = 1$ and $f(-4) = 1$), violating the one-to-one criterion where each element of the domain maps to a unique element in the range.

Determine Whether the Function f(x)=∣x+5∣f ( x ) = | x + 5 |f(x)=∣x+5∣

Determine Whether the Function $f ( x ) = | x + 5 |$