Find the Value of C Guaranteed by the Intermediate Value $$f ( x ) = \frac { x ^ { 2 } - 5 x } { x - 3 } , \left[ \frac { 9 } { 2 } , 18 \right] , f ( c ) = 6$$

question 55

Multiple Choice

Find the value of c guaranteed by the Intermediate Value Theorem. $$f ( x ) = \frac { x ^ { 2 } - 5 x } { x - 3 } , \left[ \frac { 9 } { 2 } , 18 \right] , f ( c ) = 6$$

• A) 11
• B) 2
• C) 1
• D) 9
• E) 10

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Definitions:

Motor Skills

Abilities required to perform movements and tasks, involving the coordination of muscles and the nervous system.

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Of high quality; exhibiting excellence or precision, often used to describe delicate or subtle distinctions.

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Relating to or characteristic of manipulating others for one's own advantage, often in a deceitful or unfair way.

Attachment

An emotional bond that develops between infants and their caregivers, influencing the child's social and emotional development.