Topic explanation

Standard explanation

A one-one function gives different outputs for different inputs and passes the horizontal-line test.

Key points

• One-one and many-one functions
• rule
• worked example
• One-one and many-one functions: A one-one function gives different outputs for different inputs and passes the horizontal-line test.
• CONCEPT AND RULE: A one-one function gives different outputs for different inputs and passes the horizontal-line test.
• METHOD: For one-one and many-one functions, identify the given information and required result. Select the m
• A one-one function gives different outputs for different inputs and passes the horizontal-line test.
• Worked pattern: f(x)=2x+1 is one-one; f(x)=x^2 on R is many-one.

Labelled diagram