Consider the function defined by

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the function

f:\mathbb{R}\to\mathbb{R}

defined by

f(x)=x^2

. Answer the following questions. (i) Define the range of a real-valued function. (ii) Determine the range of

f

. (iii) Justify your answer to part (ii) by analysing the equation

y=x^2

. State clearly why negative values of

y

are or are not possible.