Find a Polynomial Function F(x) of Least Possible Degree Having $f ( x ) = \frac { 1 } { 2 } ( x + 2 ) ( x - 3 )$

question 371

Multiple Choice

Find a polynomial function f(x) of least possible degree having the graph shown.
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• A) \(f ( x ) = \frac { 1 } { 2 } ( x + 2 ) ( x - 3 )\)
• B) \(f ( x ) = \frac { 1 } { 2 } ( x - 2 ) ( x + 3 )\)
• C) \(f ( x ) = \frac { 1 } { 2 } ( x + 2 ) ( x - 3 ) ^ { 2 }\)
• D) \(f ( x ) = \frac { 1 } { 2 } ( x - 2 ) ( x + 3 ) ^ { 2 }\)

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Definitions:

Chebyshev's Theorem

A statistical theorem stating that for any real-valued random variable, a minimum proportion of values fall within a certain number of standard deviations from the mean, regardless of the shape of the distribution.

Normal Distribution

A symmetrical, bell-shaped distribution of data where most measurements are concentrated around the mean, describing many types of naturally occurring data.

Empirical Rules

statistical rules that apply to normal distributions, describing how many observations fall within certain standard deviations from the mean.

Label

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