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Section 3-1 : Graphing

For problems 1 – 7 construct a table of at least 4 ordered pairs of points on the graph of the equation and use the ordered pairs from the table to sketch the graph of the equation.

  1. \( \displaystyle y = \frac{1}{2}x + \frac{3}{2}\)
  2. \(y = 4 - x\)
  3. \(y = 3{x^2}\)
  4. \(y = {\left( {x + 3} \right)^2}\)
  5. \(y = \sqrt {x + 2} \)
  6. \(y = \left| x \right|\)
  7. \(y = {x^3}\)

For problems 8 – 18 determine the x-intercepts and y-intercepts for the equation. Do not sketch the graph.

  1. \( \displaystyle y = \frac{7}{3}x + 2\)
  2. \(6y + 11x = - 2\)
  3. \(y = 10{x^2}\)
  4. \(y = {x^2} - 10x + 25\)
  5. \(y = 16{x^2} - 8x + 17\)
  6. \(y = - {x^2} - 25x - 24\)
  7. \(y = 2{x^2} - 6x + 7\)
  8. \(y = - 4{x^2} - 3\)
  9. \(y = 6{x^3} + 48\)
  10. \(y = \left| {x + 4} \right| - 7\)
  11. \(y = 4 - \sqrt {x - 2} \)