Understanding One-to-One Functions

What is a key characteristic of a one-to-one function?

• Different x-values result in the same y-value.

• Different x-values result in different y-values.

• It is not a function.

• It has multiple y-values for a single x-value.

Which test can be used to determine if a function is one-to-one?

• Vertical Line Test

• Parallel Line Test

• Diagonal Line Test

• Horizontal Line Test

What does the horizontal line test check for?

• If a graph is continuous

• If a graph is one-to-one

• If a graph is linear

• If a graph is a function

Why must a function pass the vertical line test before the horizontal line test?

• To ensure it is a one-to-one function

• To confirm it is a function

• To verify it is a linear function

• To check for continuity

What happens if a horizontal line intersects a graph more than once?

• The graph is not a function

• The graph is linear

• The graph is one-to-one

• The graph is not one-to-one