Use the graph f ' to sketch the graph of f.
A)
B)
C)
D)
E)

Question

​Use the graph f ' to sketch the graph of ​f​. ​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

The graph of f can be obtained by integrating the graph of f ' (which represents the derivative of f). The graph of f ' has a positive slope in the interval from x = -2 to x = 1, and a negative slope in the interval from x = 1 to x = 3. This suggests that f is increasing on the interval from x = -2 to x = 1, and decreasing on the interval from x = 1 to x = 3. The graph of f must pass through the point (0,1), since the derivative f ' has a zero slope at this point. Choice C is the only option that corresponds to a graph that satisfies these conditions.

​Use the Graph F ' to Sketch the Graph of ​F​

Use the Graph F ' to Sketch the Graph of F