Use a Graphing Utility to Graph the Function Over the Indicated

question 264

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
- $$f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + 3 x ^ { 2 } + 9 x - 3 ; ( - 5,5 )$$

• A)local minimum at \( (-0.57,-6.12) \)
• local maximum at \( (1.32,5.64) \)
• local minimum at \( (3,-3) \)
• B) local minimum at \( (-1,-6) \)
• local maximum at \( (1,6) \)
• local minimum at \( (3,-3) \)
• C) local minimum at \( (-0.61,-5.64) \)
• local maximum at \( (1.41,6.12) \)
• local minimum at \( (3,-3) \)
• D) local minimum at \(( - 3 , - 3 )\)
• local maximum at \(( - 1.32,5.64 )\)
• local minimum at \(( 0.57 , - 6.12 )\)

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Definitions:

Dominant Gene

A gene that expresses its phenotypic trait even when only one copy is present in the genotype.

Recessive

A genetic term describing an allele that produces its characteristic phenotype only when its paired allele is identical.

Dominant

Pertaining to a trait, allele, or individual that supersedes others in influence, power, or expression in a genetic, social, or hierarchical context.

Genes

Units of heredity made up of DNA, acting as instructions to make molecules called proteins, influencing individual traits from physical appearance to disease susceptibility.