Answer:
f(x) = -x³ + 3x - 2
(i) x-intercepts: x = -2, 1
y-intercepts: y = -2
(ii) f'(x) = -3x² + 3 = 0
-3x² = -3
x² = 1
x = ±1
f(-1) = -4, f(1) = 0
(iii) f"(x) = -6x = 0
x = 0
f(0) = 1
x f(x)
-2.5 6.125
-2 0
-1 -4
0 -2
1 0
2 -4
Plot these points. Then draw a smooth curve that goes through these points.
