Use the Intermediate Value Theorem for Polynomials to Show That $f ( x ) = - 8 x ^ { 4 } - 5 x ^ { 3 } - 9 x - 5 ; - 1$

question 103

Multiple Choice

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the numbers given.
- $f ( x ) = - 8 x ^ { 4 } - 5 x ^ { 3 } - 9 x - 5 ; - 1$ and 0

• A) \(f ( - 1 ) = 2\) and \(f ( 0 ) = - 4\)
• B) \(f ( - 1 ) = - 1\) and \(f ( 0 ) = - 5\)
• C) \(f ( - 1 ) = - 1\) and \(f ( 0 ) = 5\)
• D) \(f ( - 1 ) = 1\) and \(f ( 0 ) = - 5\)

---

Definitions:

Brief Periods

Short spans of time.

Structured Situation

An environment or scenario that is organized and designed with specific rules or guidelines, often used in research to control variables and outcomes.

Birth Order

the order in which a child is born in their family, which is often theorized to affect personality and behavior.

Family Size

Refers to the number of members in a family unit, including parents and children.