Determine whether the function is one-to-one.
-$$f ( x ) = \left| 25 - x ^ { 2 } \right|$$

Name: Determine whether the function is one-to-one. -\[f ( x ) = \left| 25 - x ^ { 2 } \right|\]
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Question

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The function $f(x) = \left| 25 - x^2 \right|$ is not one-to-one because for any given y-value (except for when y=0), there are two x-values that produce the same y-value, one positive and one negative, due to the symmetry of the square function and the absolute value operation.

Determine Whether the Function Is One-To-One f(x)=∣25−x2∣f ( x ) = \left| 25 - x ^ { 2 } \right|f(x)=​25−x2​

Determine Whether the Function Is One-To-One $f ( x ) = \left| 25 - x ^ { 2 } \right|$