Let $f ( x ) = \int _ { - 3 } ^ { x } g ( t ) d t$

question 126

Essay

Let $f ( x ) = \int _ { - 3 } ^ { x } g ( t ) d t$ where g is the function whose graph is shown below: (a) Evaluate f ( $- 3$ ), f ( $- 1$ ), f (0), f (1), f (3) and f (5).(b) On what interval(s) is f increasing?
(c) What are the maximum and minimum values of f over [ $- 3$ ,5]?

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Definitions:

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The total amount of cholesterol present in the serum portion of the blood, which is a key indicator in assessing an individual's risk for cardiovascular diseases.

Endocytosis

Bulk uptake of material through the cell membrane.

Receptor Mediated Endocytosis

This is a cellular process by which cells absorb metabolites, hormones, proteins – and in some cases viruses – by the inward budding of plasma membrane vesicles containing proteins with receptor sites specific to the molecules being absorbed.