Find a Cubic Function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$

question 28

Short Answer

Find a cubic function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$ that has a local maximum value of 112 at 1 and a local minimum value of $- 1,184$ at 7 .

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Definitions:

Rhesus Monkeys

A species of monkey native to South, Central, and Southeast Asia, known for its importance in biological and medical research.

Harry Harlow

An American psychologist best known for his maternal-separation, dependency needs, and social isolation experiments on rhesus monkeys, which highlighted the importance of care-giving and companionship in social and cognitive development.

Secure Attachment

A trusting, open style of attachment.

Caregiver

An individual who provides care to someone who is unable to fully care for themselves; this can include parents, family members, or professional caregivers.