Question

describe why the horizontal line test is an effective way to determine whether a function is one - to - one. each output of a function must have exactly select for the function to be one - to - one. if any horizontal line crosses the graph of a function more than once, that means that select repeat and the function select one - to - one. if no horizontal line crosses the graph of the function more than once, then no select repeat and the function select one - to - one. resources ebook inverse functions

Explanation:

A one - to - one function has a unique input for each output. If a horizontal line crosses the function's graph more than once, it means there are multiple inputs giving the same output (outputs repeat), so the function is not one - to - one. If no horizontal line crosses more than once, there are no repeated outputs, and the function is one - to - one.

Answer:

Each output of a function must have exactly one input for the function to be one - to - one. If any horizontal line crosses the graph of a function more than once, that means that outputs repeat and the function is not one - to - one. If no horizontal line crosses the graph of the function more than once, then no outputs repeat and the function is one - to - one.