A Function Is Given $G ( x ) = \frac { 3 } { x ^ { 2 } + x + 1 }$

question 40

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 all answers correct to two decimal places.
$G ( x ) = \frac { 3 } { x ^ { 2 } + x + 1 }$

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Definitions:

Real Rate

The interest rate that has been adjusted for inflation, reflecting the true return of an investment.

Annual Coupon

refers to the fixed interest payment that a bond issuer agrees to pay to the bondholder once every year until the bond's maturity date.

Zero-Coupon Bond

A bond that is issued at a discount to its face value but pays no interest; the investor's return is the difference between the purchase price and the face value at maturity.

Par Value

The face value of a bond or stock, representing the amount that the issuer agrees to pay at maturity or the nominal value assigned to a share of stock for accounting purposes.