A Function Is Given $G ( x ) = \frac { 2 } { x ^ { 2 } + x + 1 }$

question 14

Essay

A function is given. (a) Find all the local maximum and minimum values of the function and the value of x at which each occurs
b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer correct to two decimal places. $G ( x ) = \frac { 2 } { x ^ { 2 } + x + 1 }$

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Definitions:

Effective Interest Method

A technique used in finance to calculate the actual interest rate on a bond or loan, considering compounding over the term.

Straight-Line Method

A method of calculating depreciation by evenly distributing the cost of an asset over its expected useful life.

Premium

The amount paid for insurance coverage or the amount above the nominal value in finance.

Actuarial Information

Actuarial information involves data and statistics used by actuaries to assess risks and calculate insurance premiums, pension contributions, and other financial products.