The diagram shows a sketch of the graph of $y=0.1{x}^{3}+0.25{x}^{2}-2x-1$ for $-7\leqx\leq5.$

Two points, $P$ and $Q,$ are also marked.

Draw the graph of $y=0.1{x}^{3}+0.25{x}^{2}-2x-1$ on your calculator and use it to answer the following questions.

Find the coordinates of point $P$ and point$Q$.

$P=$ ( ...................... , ......................)

$Q=$ ( ...................... , ......................)

1.2. Find the coordinates of

(i) the local maximum point

( ...................... , ......................) [2]

(ii) the local minimum point.

( ...................... , ......................) [2]

1.3. The line $y=a$ intercepts the graph of $y=0.1{x}^{3}+0.25{x}^{2}-2x-1$ at 3 points.

Complete the range of values for $a$.

.................. \(