Use the Given Information to
A $f ( x ) = \left\{ \begin{array} { l l } - x ^ { 2 } - 2 & \text { for } x \leq 1 \\ \frac { 1 } { 2 } x & \text { for } x > 1 \end{array} \right.$

question 291

Multiple Choice

Use the given information to
a. Graph the function.
b. Write the domain in interval notation.
c. Write the range in interval notation.
- $f ( x ) = \left\{ \begin{array} { l l } - x ^ { 2 } - 2 & \text { for } x \leq 1 \\ \frac { 1 } { 2 } x & \text { for } x > 1 \end{array} \right.$

• A) domain: \(( - \infty , \infty )\) range: \(( - \infty , - 2 ) \cup \left( \frac { 1 } { 2 } , \infty \right)\)
• B) domain: \(( - \infty , \infty )\) range: \(( - \infty , - 2 ) \cup \left( \frac { 1 } { 2 } , \infty \right)\)
• C) domain: \(( - \infty , \infty )\) range: \(( - \infty , \infty )\)
• D) domain: \(( - \infty , \infty )\) range: \(\left( - \infty , \frac { 1 } { 2 } \right)\)

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Definitions:

Test Performance

An evaluation of the efficacy or success of a test, often in the context of education or software testing.

False Null Hypothesis

A hypothetical error that occurs when a true null hypothesis is incorrectly rejected.

Type II Error

The statistical error that occurs when a test fails to reject a false null hypothesis, also known as a "false negative."

Sample Size

Refers to the number of observations or data points collected in a sample from a population for the purpose of statistical analysis.