Question

After the domain has been divided into intervals, which quantity must be determined in each interval?

Options

• The sign of \[f(x)\] only

• The value of the constant \[c\] only

• The value of \[x_0\] only

• The sign of \[f'(x)\]

Answer 1

The sign of \[f'(x)\] determines the nature of \[f\] in each interval. Positive sign gives increasing behaviour and negative sign gives decreasing behaviour.