determine whether the following graph represents a function.\nanswer\none - to - one function\nfunction, but…

determine whether the following graph represents a function.\nanswer\none - to - one function\nfunction, but not one - to - one\nnot a function

determine whether the following graph represents a function.\nanswer\none - to - one function\nfunction, but not one - to - one\nnot a function

Answer

Explanation:

Step1: Use the vertical line test

A graph represents a function if and only if every vertical line intersects the graph at most once. For the given graph, any vertical line drawn will intersect the graph at most once. So it is a function.

Step2: Use the horizontal line test

A one - to - one function has the property that every horizontal line intersects the graph at most once. In the given graph, there are horizontal lines (for example, (y = 2)) that intersect the graph more than once. So it is not a one - to - one function.

Answer:

Function, but not One - to - One