One-to-One Function

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Match the following mapping diagram to its type of relation.

• many-to-many

• 
• many-to-one

• 
• one-to-one

• 
• many-to-one

• 

Which test helps determine if a function is one-to-one just by looking at its graph?

• Vertical Line Test

• Slope Test

• Horizontal Line Test

• Symmetry Test

Which of the following graphs represents a one-to-one function?

• A parabola opening upwards

• A straight line with a positive slope

• A U-shaped graph

• A circle

Why is the function NOT one-to-one?

• Because it has two outputs for some inputs

• Because some inputs have the same output

• Because it passes both the vertical and horizontal line tests
  

• Because it is a straight line

A teacher assigned each student a unique ID number. Which real-world scenario follows a one-to-one function?

• Assigning a unique student number to each student

• Pairing students with their favorite subjects

• Assigning one adviser to multiple students

• Giving the same course code to different subjects

If a function is one-to-one, which of the following is ALWAYS true?

• Every input has exactly one output, and different inputs have different outputs.

• Every output has multiple corresponding inputs.

• The function passes the vertical line test but fails the horizontal line test.

• The graph is always a straight line.