Question

What is the maximum and minimum values of the function y is equals to x cube minus 3 x square + 6?

Answer 1

y = x³ – 3x² + 6

Domain of the function: -∞ ≤ x ≤ ∞

The range of the function: -∞ ≤ f(x) ≤ ∞

∴ The minimum value = -∞

   The maximum value = ∞

See the graph below:

Local maximum is at (0, 6)

Local minimum is at (2, 2)

Answer 2

find the maximum and minimum value of x cube minus 2 X square + X + 6