Let $\mathbf { r } ( t ) = \left\{ \sqrt { 2 - t } , \frac { \left( e ^ { t } - 2 \right) } { t } , \ln ( t + 1 ) \right\}$

question 52

Multiple Choice

Let $\mathbf { r } ( t ) = \left\{ \sqrt { 2 - t } , \frac { \left( e ^ { t } - 2 \right) } { t } , \ln ( t + 1 ) \right\}$ Find the domain of $r$ .

• A) \(( - 1,0 ) \cup ( 0,2 ]\)
• B) \(( 2 , \infty ]\)
• C) \([ 2,0 ) \cup ( 0,2 )\)
• D) \(( - \infty , - 1 )\)
• E) \(( - 1,2 ]\)

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Definitions:

Positively Correlated

A relationship between two variables where both either increase or decrease together.

Negatively Correlated

A statistical relationship between two variables in which one variable increases as the other decreases.

Positively Skewed

Describes a distribution of data where the tail is longer on the right side, indicating a larger number of observations are below the mean.

Negatively Skewed

Describes a distribution of data where the tail is on the left side of the distribution, indicating that the majority of data points are located to the right of the mean.