Answer the Question $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$

question 201

Multiple Choice

Answer the question.
-Determine the function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ so that its graph contains the points $( - 1,2 ) , ( 0,6 ) , ( 1,16 )$ , and $( 2$ , 50) .

• A) \(f ( x ) = 3 x ^ { 3 } + 3 x ^ { 2 } - 4 x - 6\)
• B) \(f ( x ) = 3 x ^ { 3 } + 3 x ^ { 2 } + 4 x + 6\)
• C) \(f ( x ) = 3 x ^ { 3 } + 4 x ^ { 2 } + 3 x + 6\)
• D) \(f ( x ) = 4 x ^ { 3 } + 4 x ^ { 2 } + 4 x + 6\)

---

Definitions:

Id

The id is part of Freud's psychoanalytic theory, representing the instinctual, unconscious part of the psyche driving basic impulses such as seeking pleasure.

Superego

In Freudian psychology, the part of the personality that represents internalized ideals, moral standards, and conscience, often in conflict with the id's desires.

Emphasized

Given special importance, value, or prominence to something.

Present

The period of time occurring now, or the current state or condition.