1. Self Assessment
1. Find the absolute extrema of the function
Determine whether Rolle’s Theorem can be applied to the function. If Rolle’s Theorem can be applied find the absolute extrema. f(x) = -3x2 - 30x - 69; [-7, -3]
3. Determine whether Rolle’s Theorem can be applied to the function. If Rolle’s Theorem can be applied find the absolute extrema.

2. Self Assessment
1. Find the absolute extrema of the function
Critical Numbers: x = 0 and x = -2
MINIMUM
MAXIMUM

3. Self Assessment
1. Find the absolute extrema of the function
Critical Numbers: x = 0 and x = -2
MINIMUM
MAXIMUM

4. Self Assessment
Determine whether Rolle’s Theorem can be applied to the function. If Rolle’s Theorem can be applied find the absolute extrema. f(x) = -3x2 - 30x - 69; [-7, -3]
Rolle’s Applies: Graph is continuous and differentiable on the interval
Critical Numbers: x = -5
MAXIMUM
MINIMUM
MINIMUM

5. Self Assessment
Determine whether Rolle’s Theorem can be applied to the function. If Rolle’s Theorem can be applied find the absolute extrema. f(x) = -3x2 - 30x - 69; [-7, -3]
Rolle’s Applies: Graph is continuous and differentiable on the interval
Critical Numbers: x = -5
MAXIMUM
MINIMUM
MINIMUM

6. Self Assessment
3. Determine whether Rolle’s Theorem can be applied to the function. If Rolle’s Theorem can be applied find the absolute extrema.
Has a discontinuity at x = -5
Rolle’s Applies: Graph is continuous and differentiable on the interval
Critical Numbers:
MAXIMUM
MAXIMUM
MINIMUM

7. Self Assessment
3. Determine whether Rolle’s Theorem can be applied to the function. If Rolle’s Theorem can be applied find the absolute extrema.
Has a discontinuity at x = -5
Rolle’s Applies: Graph is continuous and differentiable on the interval
Critical Numbers:
MAXIMUM
MAXIMUM
MINIMUM