Answer the Problem $$f ( x ) = \sqrt { 3 x } + 0.9 \sin x , [ 0,2 \pi ]$$

question 7

Essay

Answer the problem.
-Use the following function and a graphing calculator to answer the questions.
$$f ( x ) = \sqrt { 3 x } + 0.9 \sin x , [ 0,2 \pi ]$$
a). Plot the function over the interval to see its general behavior there. Sketch the graph below.

b). Find the interior points where f = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f as well. List the points as ordered pairs (x, y).
c). Find the interior points where f does not exist. List the points as ordered pairs (x, y).
d). Evaluate the function at the endpoints and list these points as ordered pairs (x, y).
e). Find the function's absolute extreme values on the interval and identify where they occur.

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Definitions:

Distribution Intensity

The level of market coverage a product gets, ranging from intensive, selective to exclusive distribution, depending on the company's strategy.

Intensive Distribution

A strategy where a company aims to distribute its products as widely as possible, making them available at many outlets.

Selective Distribution

A distribution strategy where a product is sold at a limited number of outlets, to control availability and maintain the product's high-end image.

Exclusive Distribution

A distribution strategy where a supplier grants only one retailer or distributor the rights to sell a product within a particular geographic area.