Graphing Piecewise Functions Solutions

  • When graphing a piecewise function, use what you know about transforming parent functions to mark open and closed points that note     endpoints     .
  • The specific domain intervals beside each expression in the function determine:
    • the    open and closed points    on the graph.
    • what    expression     is graphed over that domain interval.

Example 4

Graph.

 y=x+12 + 2if –2≤x<1–13x–1 + 2if x≥13x+7if x<–2

Example 5

Graph.

hx=x+3if x<25if x=2–x+7if x>2

hx=–x–2+5

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