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

question 48

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) \([ 1 , \infty )\)

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Definitions:

Success Rate

A measure or percentage indicating the proportion of successes in a specific number of attempts or operations.

Failure Rate

A measure of the frequency at which an engineered system or component fails, expressed in failures per unit of time.

Cognition

The act of understanding and learning through mental processes, experiences, and sensory engagement.

Concepts

Concepts are mental categories that group objects, events, and characteristics on the basis of common properties, enabling individuals to organize and simplify information in the world around them.