3-5 Continuity and End Behavior

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3-5 Continuity and End Behavior

• Pre Calc A

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Discontinuous vs Continuous
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Continuity Test

• A function is continuous at x c if it satisfies
  the following conditions
• 1. The function is defined at c f(c) must exist
• 2. The function approaches the same y-value on
  the left and right sides of x c
• 3. The y-value that the function approaches from
  each side is f(c)

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Ex 17

• Determine whether each function is continuous at
  the given x-value

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Ex

• Determine whether each function is continuous at
  the given x-value

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End Behavior

• Can be determined by coefficient of highest power

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Ex

• Determine the end behavior of y 4x³ 2x -1

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Increasing and Decreasing Functions

• Determine the intervals on which the function is
  increasing and decreasing