Answer:
see below for a plot
Step-by-step explanation:
The y-intercept is where x=0:
f(0) = 0^3 +2·0^2 -0 -2 = -2
The x-intercepts can be found where f(x)=0:
0 = x^3 +2x^2 -x -2 = x^2(x +2) -1(x +2) = (x^2 -1)(x +2)
0 = (x +1)(x -1)(x +2)
The values of x that make these factors zero are {-2, -1, 1}.
The x-intercepts are (-2, 0), (-1, 0), (1, 0). The y-intercept is (0, -2).
