​Consider a Differentiable Function That Has an X-Intercept of 2

question 100

Multiple Choice

​Consider a differentiable function that has an x-intercept of 2 and a y-intercept of 4.In the interval , is decreasing and concave down.Which of the following must be true? ​
​I) The Mean Value Theorem is satisfied when .
II) .
III) A tangent approximation of the function for any value in the interval will underestimate the function value.
​

• A)​I only
• B)​II only
• C)​III only
• D)​I and II only

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Definitions:

Utilitarian

Pertains to the ethical doctrine that actions are right if they are useful or for the benefit of a majority.

Poverty

A socio-economic condition characterized by a lack of financial resources or means of subsistence, leading to inadequate access to basic needs such as food, water, and shelter.

Consequences

The results or effects that follow an action or decision.

Rightness

The quality of being morally correct, just, or honorable, often used to describe actions or decisions that conform to moral or ethical principles.