Determine the Domain and the Range of the Function $$f ( x ) = - 11 x ^ { 2 } - 2 x - 8$$

question 29

Multiple Choice

Determine the domain and the range of the function.
- $$f ( x ) = - 11 x ^ { 2 } - 2 x - 8$$

• A) domain: all real numbers
• range: \(\left\{ \mathrm { y } \mid \mathrm { y } \leq - \frac { 87 } { 11 } \right\}\)
• B) domain: all real numbers
• range: \(\left\{ y \mid y \geq \frac { 87 } { 11 } \right\}\)
• C) domain: all real numbers
• range: \(\left\{ y \mid y \leq \frac { 87 } { 11 } \right\}\)
• D) domain: all real numbers
• range: \(\left\{ y \mid y \geq - \frac { 87 } { 11 } \right\}\)

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Definitions:

Interquartile Range

The range between the first and third quartiles in a data set, representing the middle 50% of values and used as a measure of variability.

Observations

Data points or recorded information obtained from experimental or study designs, representing individual examples of the variables being studied.

Median

The middle value in a list of numbers, which separates the higher half from the lower half.

First Quartile

The value below which 25% of the data falls in a data set, representing the median of the lower half of the dataset.