GRADE 12 · MATHEMATICS · TOPIC 1

Relations and Functions

A one-to-one function never maps two different inputs to the same output.

CONCEPT EXPLAINED

Understand the concept

A one-to-one function never maps two different inputs to the same output.

SOLVED EXAMPLE

Is f(x)=2x+3 one-to-one over real numbers?

  1. Step 1: If f(a)=f(b), then 2a+3=2b+3
  2. Step 2: a=b.

Final answer: Yes

PRACTISE YOURSELF

Is f(x)=x² one-to-one on all real numbers?

Show the answer

No

Try another similar question and explain each step aloud. Refer to your school syllabus for topic level and notation.