William C. answered 09/22/23
Experienced Tutor Specializing in Chemistry, Math, and Physics
A one-to-one function, f(x), has a different value of f(x) for every value of x.
A graph of a one-to-one function is said to pass the horizontal line test:
Any horizontal line drawn on the graph will not intersect the graph of the function more than one time.
Look at the graph of y = –7|x|. Does it pass or fail the horizontal line test?
If it passes, then you have a one-to-one function.
If it fails, then you do not have a one-to-one function.
Hope this helps. Add a comment if you have any questions.