SOLUTION: explain why a polynomial function of even degree cannot have an inverse.
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Question 110971This question is from textbook
: explain why a polynomial function of even degree cannot have an inverse.
This question is from textbook
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
first recall the of inverse:
A function with domain is said to be if
distinct points in have same under , that is:
to whenever to , and (,) is element of .
Why a polynomial function of even degree cannot have an inverse?
Simply, because a polynomial function of even degree is
function.
Each value of squared, raised to degree, or higher even
degree, will be that same value; for example, , and also . This means that two distinct points in have same
under .
example:
let
let domain be equal to ,,,,
find , ,,,
as you can see, and have same image under
also and have same image under
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