\"\"

\

The function \"\" is the height of a foot ball at \"\" sec  after kickoff.

\

Horizontal line test:

\

A function is one-to-one if and only if no horizontal line intersects its graph more than once.

\

That is, any horizontal line in the graph must cross the curve at one point only.

\

The path of the ball is parabola during the ball is in the air.

\

\

Graph: 

\

Graph the rough sketch of the trajectory of the football.

\

Draw the horizontal line \"\".

\

\

\"\"

\

\

Observe the graph:

\

\

The horizontal line \"\" touches the graph twice.

\

\"\".

\

The function is not an one-to-one, because it violates the horizontal line test.

\

\"\"

\

The function is not an one-to-one function.