Use a Graphing Utility to Graph the Function Over the Indicated

question 241

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. 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:

Tumor Marker

Substances often produced by cancer cells or by the body in response to cancer, used in the blood, urine, or tissues to help detect and manage some types of cancer.

Tumor Supresser Gene

A gene that protects a cell from one step on the path to cancer. When this gene mutates or is absent, it can lead to tumor formation.

P53

A tumor suppressor protein that plays a crucial role in cell cycle regulation, DNA repair, and apoptosis.

Cancer

Cancer is a group of diseases characterized by the uncontrolled growth and spread of abnormal cells in the body, potentially leading to death if not treated.