Question

Investigate the behaviour of the function y = $x^3$ - 3x + 2 and construct its graph.

Answer 1

The point where the curve meets x-axis is $(-2,0),(1,0)$

The value of f(x) increases in interval $x\in (-\infty ,-1)$ and decreases in interval $x\in (-1,1)$ and again increases in interval $x\in (1,\infty )$

Points of inflection $(-1,4),(1,0)$