Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 8 x ^ { 4 } - 7 x ^ { 2 } - 2$

question 77

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given
integers
- $f ( x ) = 8 x ^ { 4 } - 7 x ^ { 2 } - 2$ ; between 1 and 2

• A) \(f ( 1 ) = 1\) and \(f ( 2 ) = - 98\); yes
• B) \(f ( 1 ) = - 1\) and \(f ( 2 ) = 98\); yes
• C) \(f ( 1 ) = 1\) and \(f ( 2 ) = 99\); no
• D) \(f ( 1 ) = - 1\) and \(f ( 2 ) = - 98\); no

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Definitions:

American Liberty

A term encompassing the ideals of freedom and democracy cherished and upheld by the United States, including individual rights, rule of law, and civil liberties.

Standard Normal

A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Probability Distribution

A statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

Mean

The average value of a set of numbers, calculated by dividing the sum of all the numbers by the count of items in the set.