3.3: Cubic graph: find coefficients and solve inequality

0606/22/F/M/21 — Question 3 · 5 marks

3.3 diagram
The diagram shows the graph of y=f(x)y = f(x), where f(x)=a(x+b)2(x+c)f(x) = a(x + b)^{2}(x + c) and aa, bb and cc are integers.
(a)
Find the value of each of aa, bb and cc.
[2]
(b)
Hence solve the inequality f(x)1f(x) \leqslant -1.
[3]