Inverses

Odd Polynomials

Example 1

Does the function Inverses_ex1 have an inverse function?

Step 1. Does the function have only odd exponents?

Yes, it does.

Step 2. Are the terms of the function always added together?

Yes, they are.

Step 3. Does each term have a positive coefficient?

Yes, they do.

Step 4. Make a graph to check if the function passes the horizontal line test.

Inverses_ex1-2

Since any horizontal line drawn would intersect the function at exactly one point, then the function's inverse will be a function.