Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 7 x ^ { 3 } - 2 x + 2 ; [ - 1,0 ]$$

question 341

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 7 x ^ { 3 } - 2 x + 2 ; [ - 1,0 ]$$

• A) \(f ( - 1 ) = 3\) and \(f ( 0 ) = - 2\); yes
• B) \(f ( - 1 ) = 3\) and \(f ( 0 ) = 2\); no
• C) \(f ( - 1 ) = - 3\) and \(f ( 0 ) = 2\); yes
• D) \(f ( - 1 ) = - 3\) and \(f ( 0 ) = - 2\); no

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Definitions:

Embryo

An embryo is an early stage of development in multicellular organisms, in humans, it specifically refers to the period from fertilization until the end of the eighth week of gestation.

Germinal

Pertains to the earliest stage of development in both plants and animals; in human embryology, it refers to the first two weeks of prenatal development.

Miscarriages

The spontaneous loss of a pregnancy before the 20th week, often due to natural causes related to fetal or maternal health issues.

Embryonic Stage

A period in prenatal development occurring from the end of the second week through the eighth week after conception, where major organs and structures within the organism begin to develop.