**Q1: **

The graph of a function is shown. At which point is negative but positive?

- Apoint
- Bpoint
- Cpoint
- Dpoint
- Epoint

**Q2: **

Determine the intervals on which is concave up and concave down.

- A The function is concave up on and concave down on .
- B The function is concave up on and concave down on .
- C The function is concave up on and concave down on .
- D The function is concave up on and concave down on .
- E The function is concave up on and concave down on .

**Q3: **

Determine the intervals on which is concave up and concave down.

- A The function is concave up on and concave down on .
- B The function is concave up on and concave down on .
- C The function is concave up on and concave down on .
- D The function is concave up on and concave down on .
- E The function is concave up on and concave down on .

**Q4: **

The graph of the first derivative of a function is shown. On what intervals is concave upward or concave downward?

- A is concave upward on and and concave downward on and .
- B is concave upward on , , and and concave downward on , , and .
- C is concave upward on and and concave downward on and .
- D is concave upward on , , and and concave downward on , , and .
- E is concave upward on and and concave downward on and .

**Q5: **

Determine the local maximum and minimum values of the function .

- Alocal minimum , local maximum
- Blocal maximum , local minimum
- Clocal maximum , local minimum
- Dlocal minimum , local maximum

**Q6: **

Determine the local maximum and minimum values of the function .

- Alocal minimum , local maximum
- Blocal maximum , local minimum
- Clocal maximum , local minimum
- Dlocal minimum , local maximum

**Q7: **

Determine where is concave up and/or where it is concave down.

- A The function is concave down on the interval .
- B The function is concave up on the interval .
- C The function is concave up on the interval .
- D The function is concave down on the interval .
- E The function is concave down on the interval .

**Q8: **

Determine where is concave up and/or where it is concave down.

- A The function is concave down on the interval .
- B The function is concave up on the interval .
- C The function is concave up on the interval .
- D The function is concave down on the interval .
- E The function is concave down on the interval .

**Q9: **

Find, if they exist, the local maximum and/or minimum values of the function . Also specify what type of value they are.

- Ahas no local maximum or minimum points
- B , local maximum value
- C , local maximum value
- D , local minimum value
- E , local minimum value

**Q10: **

Find, if they exist, the local maximum and/or minimum values of the function . Also specify what type of value they are.

- Ahas no local maximum or minimum points
- B , local maximum value
- C , local maximum value
- D , local minimum value
- E , local minimum value

**Q11: **

Determine where the curve defined by and , , is concave upward and where it is concave downward.

- A The curve is concave upward on the interval .
- B The curve is concave downward on the interval and upward on the interval .
- C The curve is concave downward on the interval .
- D The curve is concave downward on the interval and upward on the interval .
- E The curve is concave downward on the interval and upward on the interval .

**Q12: **

Let Find the intervals on which the graph is convex downwards and on which it is convex upwards.

- A convex downwards on, convex upwards on
- B convex upwards on, convex downwards on
- C convex downwards on and , convex upwards on
- Dconvex upwards on and , convex downwards on

**Q13: **

Let Find the intervals on which the graph is convex downwards and on which it is convex upwards.

- A convex downwards on, convex upwards on
- B convex upwards on, convex downwards on
- C convex downwards on and , convex upwards on
- Dconvex upwards on and , convex downwards on

**Q14: **

Find where (if at all) the function has its local maxima and minima.

- Alocal minimum at , no local maximum
- Blocal minimum at , local maximum at
- Clocal maximum at , no local minimum
- Dlocal maximum at , local minimum

**Q15: **

Find where (if at all) the function has its local maxima and minima.

- Alocal minimum at , no local maximum
- Blocal minimum at , local maximum at
- Clocal maximum at , no local minimum
- Dlocal maximum at , local minimum

**Q16: **

For find the intervals on which is increasing or decreasing.

- A is increasing on the interval and decreasing on the interval .
- B is increasing on the intervals and and decreasing on the interval .
- C is increasing on the interval and decreasing on the interval .
- D is increasing on the interval and decreasing on the intervals and .
- E is decreasing on the interval and decreasing on the interval .

**Q17: **

For find the intervals on which is increasing or decreasing.

- A is increasing on the interval and decreasing on the interval .
- B is increasing on the intervals and and decreasing on the interval .
- C is increasing on the interval and decreasing on the interval .
- D is increasing on the interval and decreasing on the intervals and .
- E is decreasing on the interval and decreasing on the interval .