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Functions and Notation

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What a function is, function notation, and basic evaluation.

2.1 Function idea

A function is a rule that assigns exactly one output to each input in its domain.

We write:

TEXT
y = f(x)

2.2 Evaluating a function

If f(x) = 2x - 3, then:

TEXT
f(4) = 2(4) - 3 = 5
f(0) = -3

2.3 Domain and range (starter)

  • Domain: allowed inputs
  • Range: produced outputs