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Section 1.8: Continuity

Section 1.8: Continuity. A function f continuous at a number a if: 1) f(a) Exists 2) 3) . The following types of functions are continuous at every number in their domains:. Polynomials Rational Functions Root Functions Trigonometric Functions.

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Section 1.8: Continuity

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  1. Section 1.8: Continuity • A function f continuous at a number a if: • 1) f(a) Exists • 2) • 3)

  2. The following types of functions are continuous at every number in their domains: • Polynomials Rational Functions • Root Functions Trigonometric Functions

  3. If f and g are contuinuous at a and c is a constant, then the following functions are also continuous at a: • f + g f – g • f.g f/g if g(a) • cf

  4. If f is continuous at b and

  5. Theorem: If g is continuous at a and f is continuous at g(a), then the composite fog given by (fog)(x) is continuous at a

  6. The Intermediate Value Theorem:

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