Determine whether or not the function is one-to-one.
-$f ( x ) = \left| 9 - x ^ { 2 } \right|$
A) No
B) Yes

Question

Quizplus · Accepted Answer

The function $f(x) = \left| 9 - x^2 \right|$ is not one-to-one because for any given y-value (except for when y=9), there are two x-values that will produce the same y-value, one positive and one negative. This violates the definition of a one-to-one function, where each x-value must map to a unique y-value.

Determine Whether or Not the Function Is One-To-One f(x)=∣9−x2∣f ( x ) = \left| 9 - x ^ { 2 } \right|f(x)=​9−x2​

Determine Whether or Not the Function Is One-To-One $f ( x ) = \left| 9 - x ^ { 2 } \right|$