Determine whether the statement is true or false.
-Any function of the form f(x) $f ( x ) = x ^ { n }$ where n is an odd integer, has an inverse.

Question

Quizplus · Accepted Answer

For any function of the form $f(x) = x^n$ where $n$ is an odd integer, the function is one-to-one (passes the Horizontal Line Test) because for every $x$ value there is a unique $y$ value, and it covers all real numbers for both $x$ and $y$. Therefore, it has an inverse.

Determine Whether the Statement Is True or False f(x)=xnf ( x ) = x ^ { n }f(x)=xn

Determine Whether the Statement Is True or False $f ( x ) = x ^ { n }$