The picture below shows the graph y=f′(x) of the derivative of a function y=f(x)

For each of the labelled points on the graph, classify the corresponding point on the graph of y=f(x) as on of the following: MAX, MIN, INFL, INT (short for maximum, minimum, inflection point, x-intercept)
A: ______ B: ______ C: ______ D: ______ E: ______

For each of the following intervals, classify whether the graph of y=f(x) is INC or DEC over that interval (short for increasing or decreasing).
(−∞,A): _____ (A,B):______ (B,C):______ (C,D):______ (D,E):______ (E,∞):______

For each of the following intervals, classify whether the graph of y=f(x) is CU or CD over that interval (short for concave up or concave down).
(−∞,A)______ (A,B)______ (B,C)______ (C,D) (D,E) ______ (E,∞)______

The picture below shows the graph yfx of the derivative of a function yfx For each of the labelled points on the graph classify the corresponding point on the g class=

Respuesta :

x-intercepts are the points A, C and E; B is the minimum point; D is the maximum point and C is the inflection point. 

Increasing intervals are (B, C) and (C, D); Decreasing intervals are (−∞, A), (A, B), (D. E) and (E,+∞)

The function is concave up in the interval (−∞, C) including the intervals (−∞,A), (A,B) and (B,C). The function is concave down (C, +∞) including the intervals (C,D), (D,E)  and (E,∞)