Question

Example of a one-to-one function.

Answer 1

A one-to-one function is where each unique input pairs with a unique output. An example of such a function is f(x) = 2x + 3, which passes the horizontal line test, confirming its one-to-one nature.

Step-by-step explanation:

One-to-One Function Example

A one-to-one function, also known as an injective function, is a type of function where each input corresponds to a unique output. This means that no two different inputs will lead to the same output. An example of a one-to-one function is the function f(x) = 2x + 3. For every value of x, there is a different value of f(x). This can be visually confirmed by the horizontal line test, where if a horizontal line intersects the graph of the function at no more than one point, the function is one-to-one.

For instance, if we plug in x = 1, the function gives us f(1) = 2(1) + 3 = 5. Similarly, for x = 2, we get f(2) = 2(2) + 3 = 7. As we see, different inputs give rise to different outputs, fulfilling the one-to-one property.

Answer 2

A one-to-one function is a function of which the answers never repeat. For example, the function f(x) = x + 1 is a one-to-one function because it produces a different answer for every input