When is $f(x) = 2x^3 − 9x^2 + 12x + 3$ smallest over this range?

Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

The smallest value of the function \[f(x) = 2x^3 − 9x^2 + 12x + 3\] in the range \(0 \leq x \leq 2\) is

1. \(1\),

2. \(3\),

3. \(5\),

4. \(7\).

Could we see ‘the smallest value’ as ‘the minimum value’?

How do we find the minimum values of a function?

Could we sketch the graph of \(y = f(x)\)?