Answer the following with reference to injective functions.
MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
Answer the following with reference to injective functions.
(i) State the definition of a one–to–one (injective) function.
(ii) Describe the Horizontal Line Test used to decide whether a given real-valued function is one–to–one.
(iii) Using the definition from part (i), justify why a function that fails the Horizontal Line Test cannot admit an inverse function.