Let be the real-valued function defined by with the restriction .

MATHEMATICS · Multi-part · GCSE · Mathematics · Algebra · Algebra

Problem

Let

g

be the real-valued function defined by

g(x)=|x^{2}-4x|

with the restriction

x\le 3

. (i) Write the domain of

g

in interval notation. (ii) Determine the least and the greatest values of

g(x)

on the given domain. (iii) Hence state the complete range of

g

. Show all working clearly, including the treatment of the modulus sign.