Identifying One-to-One Functions
Interactive practice questions
Consider the following.
Select all the correct options that complete the following statement.
A one-to-one function is a function in which:
No ordered pairs have the same $y$y coordinate.
For every value of $y$y, there is only one value of $x$x.
The axis of symmetry is the $y$y-axis.
A horizontal line intersects the graph in no more than one place.
No ordered pairs have the same $y$y coordinate.
For every value of $y$y, there is only one value of $x$x.
The axis of symmetry is the $y$y-axis.
A horizontal line intersects the graph in no more than one place.
Does the graph of a horizontal line represent a function?
Yes
No
Yes
No
Is a horizontal line a one-to-one function?
No, as it does not pass the vertical line test.
Yes, as it passes the horizontal line test.
No, as it does not pass the horizontal line test.
Yes, as it passes the vertical line test.
No, as it does not pass the vertical line test.
Yes, as it passes the horizontal line test.
No, as it does not pass the horizontal line test.
Yes, as it passes the vertical line test.