The graph of a twice differential function is shown at right. Which of the following is true?
Answers
Answer:
(C)
Step-by-step explanation:
looking from the slope: f'(2) is negative
f(2)=0
the curve concave upward: f''(2) is positive
f'(2)<0
f(2)=0
0<f''(2)
f'(2)<0<f''(2)
The expression which is true n the graph of a twice differential function is f' (2) < 0 < f'' (2) so, option C is correct.
What is a differential function?A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.
Given:
The coordinate of the graph is shown in figure (2, 0),
As we can see from the graph, the slope: f' (2) is negative (Downwards)
Again, from the graph
f(2) = 0
Thus, the curve concave upward: f'' (2) is positive (upward)
f' (2)<0
f (2)=0
0 < f'' (2)
f' (2) < 0 < f'' (2)
Therefore, f' (2) < 0 < f'' (2) is true in the given graph.
To know more about differential functions:
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