Mathematics

Problem

Consider the function $f: \mathbb{R}\to\mathbb{R}

defined by

f(x)=x^{2}$. Answer the following questions. a. (i) Define the range of a real-valued function. b. (ii) Determine the range of

f

. c. (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.