Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and b. 3 f(x)=x+2x²-9x-8; a= -7, b = -1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ○ A. By the intermediate value theorem, the function has at least one real zero between a and b because f(a) = ☐ and f(b) = . (Simplify your answers.) ○ B. By the intermediate value theorem, the function does not have at least one real zero between a and b because f(a) = and f(b) = (Simplify your answers.) ○ C. It is impossible to use the intermediate value theorem in this case.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.4: Fundamental Theorem Of Algebra And Descartes' Rule Of Signs
Problem 41E
Question
Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero
between a and b.
3
f(x)=x+2x²-9x-8; a= -7, b = -1
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
○ A. By the intermediate value theorem, the function has at least one real zero between a and b because
f(a) = ☐ and f(b) = . (Simplify your answers.)
○ B. By the intermediate value theorem, the function does not have at least one real zero between a and b
because f(a) = and f(b) = (Simplify your answers.)
○ C. It is impossible to use the intermediate value theorem in this case.
Transcribed Image Text:Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and b. 3 f(x)=x+2x²-9x-8; a= -7, b = -1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ○ A. By the intermediate value theorem, the function has at least one real zero between a and b because f(a) = ☐ and f(b) = . (Simplify your answers.) ○ B. By the intermediate value theorem, the function does not have at least one real zero between a and b because f(a) = and f(b) = (Simplify your answers.) ○ C. It is impossible to use the intermediate value theorem in this case.
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