Evans Dunn
08/15/2024 · Middle School

Evaluate the function for the given values of a and \( b \). Then use the intermediate value theorem to determine which of the statements below \( a=-2 \) and \( b=-1 \) \( f(x)=3 x^{3}+6 x^{2}+8 x+9 \) A. \( f(-2) \) and \( f(-1) \) have the same sign, therefore the intermediate value theorem cannot be used to determine whether the function \( f \) has B. \( f(-2) \) and \( f(-1) \) have opposite signs, therefore the function \( f \) does not have a real zero between -2 and -1 . C. \( f(-2) \) and \( f(-1) \) have opposite signs, therefore the function \( f \) has a real zero between -2 and -1 . D. \( f(-2) \) and \( f(-1) \) have the same sign, therefore the function \( f \) has a real zero between -2 and -1 .

UpStudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

The correct statement is C. The function \( f \) has a real zero between -2 and -1.

Step-by-step Solution

Elevate Your Learning
Unlock full answers and more with UpStudy Premium
Get AI Assistant
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions