What is the vertical and horizontal line tests for 1-1 function?

Answer 1

A graph of a 1-1 function needs to pass both the vertical line test and the horizontal line test.

A graph will represent a function, if any vertical line drawn crosses it only once. If the function is also 1-1, then any horizontal line drawn will cross it only once. If the horizontal line crosses the graph more than once, the function is not 1-1.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Abigail Allen

The vertical line test is used to determine if a graph represents a function. If every vertical line intersects the graph at most once, then the graph represents a function.

The horizontal line test is used to determine if a function is one-to-one (injective). If every horizontal line intersects the graph at most once, then the function is one-to-one.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.