Self Assessment 1. Find the absolute extrema of the function

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Presentation transcript:

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.

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

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

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

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

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

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