Determine whether or not the function is one-to-one.
-$f ( x ) = \sqrt { 16 - x ^ { 2 } }$

Name: Determine whether or not the function is one-to-one. -$f ( x ) = \sqrt { 16 - x ^ { 2 } }$
Brand: Quizplus
Rating: 4.8 (43 reviews)

Question

Quizplus · Accepted Answer

The function $f(x) = \sqrt{16 - x^2}$ is not one-to-one because for each positive y-value, there are two different x-values (one positive and one negative) that produce the same y-value, violating the definition of a one-to-one function where each x-value maps to a unique y-value.

Determine Whether or Not the Function Is One-To-One f(x)=16−x2f ( x ) = \sqrt { 16 - x ^ { 2 } }f(x)=16−x2​

Determine Whether or Not the Function Is One-To-One $f ( x ) = \sqrt { 16 - x ^ { 2 } }$