Find the Domain of the Function $f ( x ) = x ^ { 2 } + 6$

question 178

Short Answer

Find the domain of the function.
- $f ( x ) = x ^ { 2 } + 6$
A) $\{ x \mid x \neq - 6 \} , \text { or } ( - \infty , - 6 ) \cup ( - 6 , \infty )$
B) $\{ x \mid x > - 6 \} , \text { or } ( - 6 , \infty )$
C) $\{ x \mid x \geq - 6 \} \text {, or } [ - 6 , \infty )$
D) all real numbers, or $( - \infty , \infty )$

• A) \(\{ x \mid x \neq - 6 \} , \text { or } ( - \infty , - 6 ) \cup ( - 6 , \infty )\)
• B) \(\{ x \mid x > - 6 \} , \text { or } ( - 6 , \infty )\)
• C) \(\{ x \mid x \geq - 6 \} \text {, or } [ - 6 , \infty )\)
• D) all real numbers, or \(( - \infty , \infty )\)

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Definitions:

Broadbent's Filter

A theory suggesting that information is filtered at an early stage during processing, allowing only a limited amount of information to be passed on to higher-level functions.

Treisman's Modified

Refers to Treisman's modified attenuation theory, which proposes a mechanism for selective attention that processes all incoming information but at varying levels of attention.

Sensory Registers

Memory systems that hold incoming information from the senses for a very brief period of time, allowing it to be processed.

Reconstructive Memory

The theory that memories are not stored as exact replicas of experiences but rather are reconstructed during recall.