Use the Maximum/minimum Finder on a Graphing Calculator to Determine $$f ( x ) = 0.1 x ^ { 5 } + 5 x ^ { 4 } - 8 x ^ { 3 } - 15 x ^ { 2 } - 6 x - 63$$

question 353

Multiple Choice

Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
- $$f ( x ) = 0.1 x ^ { 5 } + 5 x ^ { 4 } - 8 x ^ { 3 } - 15 x ^ { 2 } - 6 x - 63$$

• A) Approximate local maxima at -41.132 and -0.273; approximate local minima at -0.547 and 1.952
• B) Approximate local maxima at -41.13 and -0.196; approximate local minima at -0.55 and 2.029
• C) Approximate local maxima at -41.16 and -0.301; approximate local minima at -0.638 and 2.043
• D) Approximate local maxima at -41.075 and -0.361; approximate local minima at -0.504 and 1.895

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Definitions:

Genetic Diseases

Disorders caused by abnormalities in an individual's DNA, often resulting in various health issues and conditions.

X-Linked Recessive Disorders

Genetic conditions caused by mutations in genes on the X chromosome, usually manifesting in males who have only one X chromosome, and are less affected in females who have two X chromosomes.

Waddling Gait

A pattern of walking characterized by a side-to-side motion, often seen in conditions affecting the hip or leg muscles.

Duchenne Muscular Dystrophy

Genetic disorder that is characterized by a wasting of muscle tissue; displays an X-linked recessive pattern of inheritance.