(a)

graphs of , and in two windows :

(b)

Observe the above graphs :

As x is very close to the origin, the function approximates the behavior of the term of lower degree, or .

(c)

Observe the above graphs :

As and , the function approximates the behavior of the term of higher degree, or .

(d)

As and ,the function approximates the behavior of function , and very close to the origin the function approximates the behavior of function .

(a)

graphs of , and in two windows :

(b)

Very close to the origin, the function approximates the behavior of the term of lower degree, or .

(c)

As and , the function approximates the behavior of the term of higher degree, or .

(d)

As and ,the function approximates the behavior of function , and very close to the origin the function approximates the behavior of function .