Does $f(x)=(x-7)^{4}+11$ have an inverse that is a function?

Name: Does $f(x)=(x-7)^{4}+11$ have an inverse that is a function?
Brand: Quizplus
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Question

Quizplus · Accepted Answer

The function $f(x)=(x-7)^{4}+11$ is not one-to-one because it is an even-degree polynomial, which means it does not pass the horizontal line test and therefore does not have an inverse that is a function.

Does f(x)=(x−7)4+11f(x)=(x-7)^{4}+11f(x)=(x−7)4+11 Have an Inverse That Is a Function

Does $f(x)=(x-7)^{4}+11$ Have an Inverse That Is a Function