Consider the graph of the function: Identify, from the graphs a through f, the derivative graph and the accumulation graph (with point A as the starting point). a: b: c: d: e: f:
A) The derivative is graph d and the accumulation graph is graph a.
B) The derivative is graph b and the accumulation graph is graph f.
C) The derivative is graph b and the accumulation graph is graph c.
D) The derivative is graph c and the accumulation graph is graph d.
E) The derivative is graph d and the accumulation graph is graph b.

Question

Consider the graph of the function:  Identify, from the graphs a through f, the derivative graph and the accumulation graph (with point A as the starting point). a:  b:  c:  d:  e:  f: 
A) The derivative is graph d and the accumulation graph is graph a. 
B) The derivative is graph b and the accumulation graph is graph f. 
C) The derivative is graph b and the accumulation graph is graph c. 
D) The derivative is graph c and the accumulation graph is graph d. 
E) The derivative is graph d and the accumulation graph is graph b.

Quizplus · Accepted Answer

The accumulation graph represents the area under the curve of the function. It starts at point A and increases as the function values are positive, then decreases as the function values are negative. This describes graph c.
The derivative graph represents the rate of change of the function. It is positive when the function is increasing, negative when the function is decreasing, and zero at the points where the function has extrema. This describes graph b.

Consider the Graph of the Function: Identify, from the Graphs