Is This the Graph of a Function Having the Following $\sqrt { 7 }$

question 37

True/False

Is this the graph of a function having the following properties ?
(I) f(0) = -5
(II) f'(0) = 0
(III) f''(0) = 12
(IV) f( $\sqrt { 7 }$ ) = f(- $\sqrt { 7 }$ ) = -12

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Definitions:

Sympathy

Sympathy is the feeling of pity, compassion, or sorrow for the misfortunes or suffering of others.

Resentment

Persistent feelings of bitterness or ill will towards someone or something perceived as having caused harm or injustice.

Counter-Revenge

Actions or strategies designed to neutralize or respond to acts of revenge, aiming to de-escalate a conflict.

Revenge

A form of retaliation against someone for wrongs perceived by the avenger.