Answer:
No, it is not a one-to-one function.
Explanation:
A one-to-one function means a value of y will only exist one value of x. This means that a value of y will only have one value of x.
An example of one-to-one function is an odd-degree polynomial such as linear function.
An example of non one-to-one function is a parabola since a value of y exists two values of x.
From the question, this function represents a graph of half circle with radius equal to
. (The graph has been attached below for visual reference.)
There's also a way to determine whether if a function is one-to-one or not. This can be done by drawing a horizontal line.
- If a horizontal line and a graph have one common point then it's a one-to-one function
- Otherwise (having more than one common points), a function is not a one-to-one.
From the graph and a horizontal line, both have two common points. Therefore, the function is not a one-to-one function.
* The red graph represents the given function while blue graph is a horizontal line determining a one-to-one function or not *