3. Suppose that the domain of the function of f is all real numbers and its derivative is given by:
f'(x)=(x-1)(x-4)^3/ 1+x^2

Which of the following is true about the original function of f?
I.
f is decreasing on the interval (-infinity ,1).
II.
ſ has a local minimum at x = 4.
III.
f is concave up at x = 8.
(A) I only
(B) I and II only
C) I and III only
(D) II and III only (E) I, II, III

47 - 90 = 43

43 - 180 = x

x = 137

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

what statement? is there an image?