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Section 3.5 : Graphing Functions

For problems 1 – 5 construct a table of at least 4 ordered pairs of points on the graph of the function and use the ordered pairs from the table to sketch the graph of the function.

  1. \(f\left( x \right) = {x^2} - 2\) Solution
  2. \(f\left( x \right) = \sqrt {x + 1} \) Solution
  3. \(f\left( x \right) = 9\) Solution
  4. \(f\left( x \right) = \left\{ {\begin{array}{*{20}{l}}{10 - 2x}&{{\rm{if }}x < 2}\\{{x^2} + 2}&{{\rm{if }}x \ge 2}\end{array}} \right.\) Solution
  5. \(f\left( x \right) = \left\{ {\begin{array}{*{20}{l}}{5 + x}&{{\rm{if }}x \ge 1}\\2&{{\rm{if }} - 2 \le x < 1}\\{1 - {x^2}}&{{\rm{if }}x < - 2}\end{array}} \right.\) Solution