Extrema and Intercepts

Local max at x = -3

Local min at x = -3

Local max at x = 1

Local min at x = -3

Local max at x = -3

Local min at x = 1

$\left(-\infty,\ \infty\right)$

x = 8

x = 4

$\infty$

x = 2

-2

1

$\infty$

$-\infty$

x = 1

x = 3

x = 4

x = 5

Does Not Exist

x = -4

x = -2

x = 0

x = 3

Does Not Exist

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

2 max, 2 min

3 max, 2 min

2 man, 3 min

3 increasing intervals, 2 decreasing intervals

2 increasing intervals, 3 decreasing intervals

2

3

4

5

x = 0

x = -2.55

(-∞, ∞)

None

2 increasing, 2 decreasing

1 increasing, 2 decreasing

2 increasing, 1 decreasing

1 increasing, 1 decreasing