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:

Standard Deviation

A statistic that measures the dispersion or variability of a data set relative to its mean.

Normal Distribution

A probability distribution that is symmetrical around its mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

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Normal Distribution

A continuous probability distribution characterized by a symmetric, bell-shaped curve describing the spread of a variable.