Section 1.1

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Section 1.1 A Preview of Calculus
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Calculus

• The branch of mathematics studying the rate of
  change of quantities and the length, area, and
  volume of objects. This study is driven by the
  idea of a limit.

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Calculus v Precalculus

• Investigate the following statement
• Before Calculus Answer It is undefined
• Calculus Answer The limit of the function
  approaches 6 as the x values get closer to 2.

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Calculus v Precalculus

• The graph below describes the distance in miles
  (y) from the starting line of a runner after (x)
  minutes during the Broad Street Run.
• Before Calculus Question What was the average
  rate of change between 40 and 80 minutes?
• Calculus Question How fast was the runner
  traveling at 60 minutes?

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Calculus v Precalculus

• Before Calculus Question Find the area of the
  shape below.
• Calculus Question Find the area underneath the
  curve.