Question

Determine if the function is one-to-one. (5 points)

Answer 1

Answer:  NO

Step-by-step explanation:

In order for the function to be one-to-one, it must pass the vertical line test AND the horizontal line test.

The vertical line test is where you draw a vertical line anywhere and the line will not intersect the graph more than one time.  In other words, the function cannot contain a duplicate x-value.

The horizontal line test is where you draw a horizontal line anywhere and the line will not intersect the graph more than one time.  In other words, the function cannot contain a duplicate y-value.

The graph provided passes the vertical line test but fails the horizontal line test. One example is that there are two x-intercepts.