# calculus

posted by
**Mandy** on
.

Consider the function f (x)=x1=5(x��4). This function

has two critical numbers A < B

Find A

and B

For each of the following intervals, tell whether f (x) is increasing

(type in INC) or decreasing (type in DEC).

(-inf;A]:

[A;B]:

[B;inf)

The critical number A is a relative (type in MAX,

MIN or NEITHER) and the critical number B is a relative

(type in MAX, MIN or NEITHER)

There are two numbers C < D where either f 00(x) = 0 or f 00(x)

is undefined.

Find C and D

Finally for each of the following intervals, tell whether f (x) is

concave up (type in CU) or concave down (type in CD).

(-inf;C):

(C;D)

(D;inf)