Use the Intermediate Value Theorem for Polynomials to Show That $f ( x ) = 8 x ^ { 5 } - 9 x ^ { 3 } + 6 x ^ { 2 } - 8 ; 1$

question 118

Multiple Choice

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the
numbers given.
- $f ( x ) = 8 x ^ { 5 } - 9 x ^ { 3 } + 6 x ^ { 2 } - 8 ; 1$ and 2

• A) \(f ( 1 ) = 3\) and \(f ( 2 ) = 200\)
• B) \(f ( 1 ) = - 2\) and \(f ( 2 ) = 201\)
• C) \(f ( 1 ) = - 3\) and \(f ( 2 ) = 200\)
• D) \(f ( 1 ) = 3\) and \(f ( 2 ) = - 200\)

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Definitions:

Kidney Inflammation

Medical condition also known as nephritis, characterized by swelling and irritation of the kidneys, which can impact function.

Dysuria

Difficult or painful urination, which can be a symptom of various medical conditions.

Hematuria

Abnormal presence of blood in the urine.

Costovertebral Angle

The angle formed by the vertebral column and the downward slope of the last rib, an area often examined for tenderness accompanying kidney problems.