Whether the function which reflects a person’s height at age t is one-to-one.
The function is not a one-to one function.
Horizontal line test states that the graph of the function is one-to-one function if and only if a horizontal line intersects the graph exactly once.
The given function is, .
It is known that the height of a person will remain constant after a certain age. That is the growth will be stopped and maintains a constant height for many years.
The graph of the function is shown below in Figure 1.
From Figure 1, it is observed that the horizontal line intersects the curve at many points, which means it fails the horizontal line test.
Thus, it can be concluded that the function is not a one-to-one function.
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