Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

question 184

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

• A) \(f ( 1 ) = - 5\) and \(f ( 2 ) = 13\); yes
• B) \(f ( 1 ) = 5\) and \(f ( 2 ) = - 13\); yes
• C) \(f ( 1 ) = 5\) and \(f ( 2 ) = 13\); no
• D) \(f ( 1 ) = - 5\) and \(f ( 2 ) = - 13\); no

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Definitions:

Fight-or-Flight Response

An acute stress response involving physiological changes that prepare the body to either confront or flee from a threat.

Uterus

A major female reproductive organ where the development of the embryo and fetus occurs during pregnancy.

Ovary

The female reproductive organ in flowers and certain animals, including humans, where eggs or ovules are produced.

Embryo

(1) A young organism before it emerges from the egg, seed, or body of its mother. (2) Developing human until the end of the second month, after which it is referred to as a fetus. (3) In plants, the young sporophyte produced following fertilization and subsequent development of the zygote.