Mathematics

Problem

Let

g(x)=x^{2}

be defined on the domain

-3\le x\le2

. (i) Determine the range of

g

on this domain. (ii) Identify the maximum and minimum values taken by

g

and the points at which they occur. (iii) The school intends to display only those points of the graph of

g

whose ordinates lie between

1

and

9

(inclusive). Find all

x

belonging to

[-3,2]

that satisfy this requirement.