Extrema

1. Which of the following matches the interval notation of [-1, 3]?

1. -1 < x < 3

2. -1 > x > 3

3. -1 ≤ x ≤ 3

4. -1 ≥ x ≥ 3

5. none of the above

2. Solve the following: 6x3 - 6x2 = 0

1. 0

2. -1

3. 1

4. both a and c

5. none of the above

3. Find the maxima or minima of the following: x2 - 4x + 5 on the interval [-1, 3]

1. (2, -1)

2. (2, 1)

3. (0, 1)

4. (2, 0)

5. none of the above

4. Find any local (relative) maxima or minima of the following: 2x3 - 9x2 + 12x - 2 on the interval [-1, 3]

1. (1, 3)

2. (2, -2)

3. (2, 2)

4. both a and c

5. none of the above

5. Find the maxima or minima of the following: f(x) = |x + 3|

1. (3, 0)

2. (0, 3)

3. (-3, 0)

4. (0, 3)

5. none of the above