Use the Intermediate Value Theorem to Determine Whether the Polynomial

question 77

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
-f(x) = 2x⁴ + 8x³ + 4x - 2; [-5, -4]

• A) f(-5) = -228 and f(-4) = 18; yes
• B) f(-5) = 228 and f(-4) = -18; yes
• C) f(-5) = 228 and f(-4) = 18; no
• D) f(-5) = -228 and f(-4) = -18; no

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Definitions:

Establishing

The process of founding or creating something firmly, such as rules, principles, or relationships, in a definitive manner.

Operant Conditioning

A system of learning where behavior modification is achieved through incentivization or disciplinary measures.

Classical Conditioning

A learning process first described by Ivan Pavlov, in which an organism comes to associate two stimuli, leading to a change in behavior.

Observational Learning

Learning that occurs through observing the behavior of others and the outcomes of those behaviors, without direct personal experience.