Determine whether the function is one-to-one.
-$$f ( x ) = x ^ { 2 } - 6$$

Name: Determine whether the function is one-to-one. -\[f ( x ) = x ^ { 2 } - 6\]
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Question

Quizplus · Accepted Answer

To determine whether a function is one-to-one, we have to check if every input (x-value) corresponds to a unique output (y-value). 
For this function, if we choose x = 3 and x = -3, we get f(3) = f(-3) = 3^2 - 6 = 9-6 = 3. 
This means that two different inputs give the same output, and therefore the function is not one-to-one.

Determine Whether the Function Is One-To-One f(x)=x2−6f ( x ) = x ^ { 2 } - 6f(x)=x2−6

Determine Whether the Function Is One-To-One $f ( x ) = x ^ { 2 } - 6$