Inverses

Odd Polynomials

Example 2

Does the function Inverse_ex2 have an inverse function?

Step 1. Does the function have only odd exponents?

No, it does not.

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.

Inverse_ex2-2

The function does not pass the horizontal line test because a horizontal line would intersect this function at multiple points. The function's inverse will not be a function.