Item

No.

Mark

Very well

Well

Satisfactory

Item 1

, is a horizontal asymptote towards; .

:;:.

.

Item 2

We have:, and the equation has the solution which is a point of inflexion,.

The equation has the solution, point of extreme,.

The function f is differentiable on and.

Item 3

The graph (Figure 1).

Table of variation (Table 3).

Horizontal towards.

Item 4

If, the equation has two distinct real roots:,. If, the equation has one real root.

If, the equation has double root.

If, the equation has no solutions.