**Q1: **

Find, if any, the points where has a local maximum or local minimum.

- A is the local maximum point, and the function does not have a local minimum point.
- B is the local minimum point, and is the local maximum point.
- C is the local minimum point, and the function does not have a local maximum point.
- D is the local maximum point, and is the local minimum point.
- E is the local minimum point, and the function does not have a local maximum point.

**Q3: **

Find the local maxima and local minima of , if any.

- Alocal minimum at , local maximum at
- Blocal minimum at , local maximum at
- Clocal minimum at , local maximum at
- D local minimum at , local maximum at
- Elocal minimum at , local maximum at

**Q4: **

Find the local maxima/minima of the function .

- A is a local minimum point.
- B is a local maximum point.
- C is a local maximum point.
- D is a local minimum point.
- E The function does not have local maximum or minimum points.

**Q5: **

Determine the local maximum and minimum values of the function .

- Alocal maximum value
- Blocal minimum value
- Clocal minimum value
- Dlocal maximum value
- E It has no local maximum or minimum values.

**Q6: **

Determine the local maximum and local minimum values of .

- Alocal maximum value at , local minimum value 3 at
- Blocal maximum value at , local minimum value at
- Clocal maximum value 8 at , local minimum value 8 at
- Dlocal maximum value 3 at , local minimum value at
- Elocal maximum value 8 at , local minimum value 8 at

**Q7: **

Find the local maximum and minimum values of the curve that passes through the point where the gradient of the tangent is .

- AThe local maximum value is 7, and the local minimum value is .
- BThe local maximum value is , and the local minimum value is .
- CThe local maximum value is 7, and the local minimum value is 15.
- DThe local maximum value is 15, and the local minimum value is 7.

**Q8: **

Find the points where has a local maximum or a local minimum.

- A is a local minimum point.
- B is a local maximum point, and is a local minimum point.
- C is a local maximum point.
- D is a local minimum point, and is a local maximum point.
- EThe function doesnβt have local maximum or minimum points.

**Q9: **

Find the local maximum and minimum values of .

- Alocal maximum 0 at
- Blocal maximum at
- Clocal minimum 0 at
- Dlocal minimum at
- Eno local maximum and no local minimum values

**Q10: **

Find, if any, the point where has a local maximum or local minimum.

- A is a local maximum point.
- B is a local minimum point.
- C is a local minimum point.
- D is a local maximum point.
- EThe function does not have local maximum or minimum points.

**Q11: **

Find, if any, the local maximum and local minimum values of , together with their type.

- Aabsolute maximum = 23.04, absolute minimum =
- Babsolute maximum = , absolute minimum = 24.21
- Cabsolute maximum = , absolute minimum = 23.04
- Dabsolute maximum = 24.21, absolute minimum =

**Q12: **

Find, if any, the local maximum and local minimum values of .

- A The local minimum value is.
- B The local maximum value is, and the local minimum value is.
- C The local maximum value is.
- D The local minimum value is, and the local maximum value is.
- EThe function does not have local maximum or minimum points.