Let $y = f ( x )$ be a differentiable function for which the graph of its derivative, ƒ ', is given below:
On what interval(s) is the graph of f concave down?

A) $( - \infty , 1 )$
B) $( - \infty , - 2 ) \cup ( 0 , \infty )$
C)(-2, 0)
D) $( 1 , \infty )$
E)(-2, 1)

Question

Let $y = f ( x )$ be a differentiable function for which the graph of its derivative, ƒ ', is given below:
On what interval(s) is the graph of f concave down?

A) $( - \infty , 1 )$
B) $( - \infty , - 2 ) \cup ( 0 , \infty )$
C)(-2, 0)
D) $( 1 , \infty )$
E)(-2, 1)

Quizplus · Accepted Answer

The graph of $ f $ is concave down where its derivative $ f' $ is decreasing. The interval $(-2, 0)$ is where $ f' $ is decreasing.

Let y=f(x)y = f ( x )y=f(x) Be a Differentiable Function for Which the Graph of Its

Let $y = f ( x )$ Be a Differentiable Function for Which the Graph of Its