Use Descartes's Rule of Signs to Determine the Possible Number $$f ( x ) = x ^ { 6 } - 11$$

question 230

Multiple Choice

Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given
function.
- $$f ( x ) = x ^ { 6 } - 11$$

• A) 1 positive zero, 1 negative zero
• B) 1 positive zero, 0 negative zeros
• C) 0 positive zeros, 0 negative zeros
• D) 0 positive zeros, 1 negative zero

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Definitions:

Horizontal Axis

The x-axis in a graph, generally representing the independent variable in data representation or analysis.

Perfect Complements

Goods that are consumed together in fixed proportions because their use together enhances their combined utility.

Indifference Curves

Graphical representations used in microeconomics to show different combinations of two goods between which a consumer is indifferent, signifying equal levels of utility.

Bliss Point

The optimal quantity of consumption where any further increase or decrease would lead to lower satisfaction or utility.