Find a Function F That Has Derivative $f ^ {t } ( x ) = 12 x - 6 \text { and with graph passing through }$

question 78

Multiple Choice

Find a function f that has derivative $f ^ {t } ( x ) = 12 x - 6 \text { and with graph passing through }$ the point (5,6) .

• A) \(f ( x ) = \frac { 6 } { 25 } x ^ { 2 }\)
• B) \(f ( x ) = 12 x ^ { 2 } - 6 x - 112\)
• C) \(f ( x ) = 6 x ^ { 2 } - 6 x - 111\)
• D) \(f ( x ) = 6 x ^ { 2 } - 6 x - 114\)
• E) \(f ( x ) = \frac { 6 } { 5 } x\)

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Definitions:

Node

A point in a plant where leaves, branches, or stems originate.

Trichomes

Hair-like outgrowths on the epidermis of plants, serving various functions such as reducing water loss and providing protection against herbivores.

Herbivores

Organisms that eat primarily plants or plant-based materials.

Water Absorption

The process by which water is taken up by plants from the soil through their roots to maintain hydration and support physiological processes.