Find the Range of the Function F(x, Y) = $\ln \left( x - y ^ { 2 } \right)$

question 89

Multiple Choice

Find the range of the function f(x, y) = $\ln \left( x - y ^ { 2 } \right)$ .

• A) \(( 0 , \infty )\)
• B) \([ 0 , \infty )\)
• C) \(( - \infty , \infty )\)
• D) \(( - \infty , 0 )\)
• E) \(( 1 , \infty )\)
• F) \([ 1 , \infty )\)
• G) \(( \sqrt { 2 } , \infty )\)
• H) \([ \sqrt { 2 } , \infty )\)

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Definitions:

Duration

A measure of the sensitivity of the price of a bond or other fixed-income investment to a change in interest rates, often expressed in years.

Price Volatility

The rate at which the price of an asset increases or decreases for a given set of returns, indicative of the risk or stability.

High Coupon

Bonds or debt securities that offer a higher interest rate compared to the market average.

Long Maturity

Long maturity refers to bonds or other fixed-income securities with a longer period until their expiry date, typically associated with greater sensitivity to interest rate changes.