Determine whether the function is a one-to-one function.
-$$y = ( x + 5 ) ^ { 2 }$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

The function $y = (x + 5)^2$ is not one-to-one because for any given value of $y$, there can be two different values of $x$ that produce the same output (except for the vertex point). For example, both $x = -5 + a$ and $x = -5 - a$ (for any positive $a$) will yield the same value of $y$, indicating that the function does not pass the horizontal line test.

Determine Whether the Function Is a One-To-One Function y=(x+5)2y = ( x + 5 ) ^ { 2 }y=(x+5)2

Determine Whether the Function Is a One-To-One Function $y = ( x + 5 ) ^ { 2 }$