Chapter 7.1-7.3 Test Outline

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7.1: Operations on functions

  • (f op g)(x) where op is +, -, *, /
  • composition
    • (f ○ g)(x) = f(g(x))
    • evaluate composition
    • find rule for composition
    • order matters in composition (not commutative)

7.2 Inverse functions and relations

  • find inverse relations by reversing ordered pairs
  • reflect across y = x
  • find inverses of functions by swapping x and y
  • test if functions are inverses with composition
  • horizontal and vertical line tests, one-to-one

7.3: Square root functions and inequalities

  • terminology: radical, radicand, index
  • half of the inverse of a parabola
  • find domain from radicand
  • build table
  • graph from table
  • range read from graph
  • inequalities
    • boundary line solid or dotted?
    • test which side to shade within the domain
    • domain and range
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