Use the Intermediate Value Theorem to Determine Whether the Polynomial

question 28

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
-f(x) = -2x⁴ - 4x² + 9; [-2, -1]

• A) f(-2) = 39 and f(-1) = 4; no
• B) f(-2) = -39 and f(-1) = -3; no
• C) f(-2) = 39 and f(-1) = -3; yes
• D) f(-2) = -39 and f(-1) = 3; yes

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Definitions:

Standard Deviation

A measure of the dispersion or variability within a set of data points, indicating how much the values deviate from the mean of the set.

Infinite Population

A hypothetical population of unlimited size, often used in statistical models to simplify calculations.

Standard Deviation

A measure of the dispersion or variability of a set of data points relative to their mean.

Sample Size

The number of observations or specimens included in a statistical sample.