Unit 3

Properties of Real Functions

Monotonicity, even and odd functions, and boundedness.

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Properties of Real Functions

Learning Objectives

  • Classify a function as increasing, decreasing, or non-monotonic on an interval.
  • Determine whether a function is even, odd, or neither.
  • Determine whether a function is bounded and identify its bounds.
  • Apply these properties to recognise behaviour of functions from their definitions or graphs.

About This Course Unit

Three properties of real-valued functions that recur throughout algebra, analysis, and trigonometry: monotonicity, parity, and boundedness.

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