**Q1: **

Consider the function .

Determine when .

- A
- B
- C
- D
- E

Where on the number line is ?

- A
- B
- C
- D
- E

What is ?

A sketch of on the interval is a curve below the -axis that is zero at and tends to zero as . Knowing that is differentiable, what would an extended Rolleβs theorem tell us about on the interval ?

- AThe function has an inflection point at some point , where .
- BThe function is decreasing before some point then starts increasing after that point.
- CThe function has a sharp corner at some point .
- DWe cannot get any information about .
- EThe function has a local minimum at some point .