Respuesta :

Given

A graph of a polynomial with the real coefficients.

To find:

a) The intervals in which the function is increasing is,

[tex]\begin{gathered} (-\infty,-5) \\ (-2,2) \\ (6,\infty) \end{gathered}[/tex]

b) The value of x at which the unction has local minima.

From the graph shown in the figure, there is only one local minimum at x=-2.

c) The sign of the functions leading coefficient is positive.

Since the graph is moving upwards.

d) The degree of the function is 5.