Find All Values Of $X$ Such That $f ( x ) > 0$

question 12

Multiple Choice

Find all values of $X$ such that $f ( x ) > 0$ $f ( x ) = x ^ { 3 } + 4 x ^ { 2 } - 16 x - 64$

• A) \(( - \infty , \infty )\)
• B) \(( - \infty , - 4 ) \cup ( - 4,4 )\)
• C) \(( - \infty , - 4 ] \cup [ - 4 , \infty )\)
• D) \(( - \infty , - 4 ) \cup ( 0,4 )\)
• E) \(( - 4,4 )\)

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Definitions:

Sampling Distribution

The distribution of a statistic calculated from multiple samples of a population.

Probability Distribution

A mathematical description of a random phenomenon in terms of the probabilities of events.

Finite Population Correction

A factor applied in sampling to adjust estimates when the sample is a significant portion of the population, improving accuracy.

Standard Error

A statistical measure that quantifies the variability or dispersion of a sample mean around the population mean.