Provide an Appropriate Response $y = 2 x ^ { 2 }$

question 60

Essay

Provide an appropriate response.
-Over what intervals of x-values, if any, does the function y $y = 2 x ^ { 2 }$ increase as x increases? For what values of x, if any, is y' positive? How are your answers related?

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Definitions:

Luteinizing Hormone

A hormone produced by the anterior pituitary gland that triggers ovulation and stimulates the production of progesterone in females, and testosterone in males.

Beta Cells

Cells located in the pancreas that produce insulin, which helps regulate blood glucose levels.

Insulin

Insulin is a hormone produced by the pancreas that regulates blood sugar levels by facilitating the uptake of glucose into cells.

Alpha Cell

A type of cell in the pancreas that produces glucagon, which helps to increase glucose levels in the bloodstream.