Title: Optimization Introduction PreVideo Questions
Course: Calculus I

Q: A function f ( x ) is defined for x-values between 0 and 8. The graph below shows a graph of the derivative of f ( x ).
[Image: image]
Which point corresponds to a global maximum (also called absolute maximum) of f ( x )?
- A (Incorrect)
- B (Incorrect)
- C (Incorrect)
- D (Correct)
- E (Incorrect)
- None of these points (Incorrect)
- You can't tell without more information (Incorrect)
A: D

Q: A function [Image: equation] is defined for [Image: equation]-values between 0 and 8. The graph below shows a graph of the derivative of [Image: equation].
[Image: image]
Point E corresponds to a
- local minimum of [Image: equation] (Correct)
- local maximum of [Image: equation] (Incorrect)
- neither a local max nor a min of [Image: equation] (Incorrect)
- you can't tell without more information (Incorrect)
A: local minimum of [Image: equation]

Q: A function [Image: equation] is defined for [Image: equation]-values between 0 and 8. The graph below shows a graph of the derivative of [Image: equation].
[Image: image]
Point D corresponds to a
- local minimum of [Image: equation] (Incorrect)
- local maximum of [Image: equation] (Correct)
- neither a local max nor a min of [Image: equation] (Incorrect)
- you can't tell without more information (Incorrect)
A: local maximum of [Image: equation]

Q: A function [Image: equation] is defined for [Image: equation]-values between 0 and 8. The graph below shows a graph of the derivative of [Image: equation].
[Image: image]
Point C corresponds to a
- local minimum of [Image: equation] (Incorrect)
- local maximum of [Image: equation] (Incorrect)
- neither a local max nor a min of [Image: equation] (Correct)
- you can't tell without more information (Incorrect)
A: neither a local max nor a min of [Image: equation]

Q: A function [Image: equation] is defined for [Image: equation]-values between 0 and 8. The graph below shows a graph of the derivative of [Image: equation].
[Image: image]
Point B corresponds to a
- local minimum of [Image: equation] (Correct)
- local maximum of [Image: equation] (Incorrect)
- neither a local max nor a min of [Image: equation] (Incorrect)
- you can't tell without more information (Incorrect)
A: local minimum of [Image: equation]

Q: A function [Image: equation] is defined for [Image: equation]-values between 0 and 8. The graph below shows a graph of the derivative of [Image: equation].
[Image: image]
Point A corresponds to a
- local minimum of [Image: equation] (Incorrect)
- local maximum of [Image: equation] (Correct)
- neither a local max nor a min of [Image: equation] (Incorrect)
- you can't tell without more information (Incorrect)
A: local maximum of [Image: equation]