3.1 Graph Cubic Functions by rsr13049

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									May 10-13 and May 17-20:
School starts at 7:15 for
    EOCT testing!


               3.1
       Graph Cubic Functions

                3.1, 3.3 Test: May 4
           Computer Lab (C28): May 5
            3.6, 3.8, 3.12 Quiz: May 12
         3.6, 3.8, 3.12, 3.13 Test: May 18
                Final Exam: May 25
                Vocabulary
• A cubic function is a nonlinear function
  that can be written in the standard form
  y = ax3 + bx2 + cx + d where a ≠ 0

• The shape of a cubic function graph is an
  “S”.
  – Examples:
               Vocabulary
• A function f is an odd function:
  – When you plug in a -1 all the signs change.
• A function f is an even function:
  – When you plug in a -1 non of the signs
    change.
• A function f is neither:
  – When you plug in a -1 and some signs
    change and some signs don’t.
               Vocabulary
• The end behavior of a function’s graph is
  the behavior of the graph as x approaches
  positive infinity or negative infinity.
  – Example:
                Example 1:
• Graph y = x3 + 3. Compare with the parent
  function y = x3. And describe the end
  behavior.
  – make a TABLE!
  X   -2   -1   0   1   2
  Y
Example 1 Graph:
                   Example 2:
• Graph y = -4x3. Compare to the parent
  function y = x3. And describe the end
  behavior.
  – Make a TABLE!
 X   -2   -1   0    1   2

 Y
Example 2 Graph:
               Example 3:
• Consider the function f(x) = 1/3x3 – 3x
  – Tell whether the function is even, odd, or
    neither


• Consider the function f(x) = x4 + 2
  – Tell whether the function is even, odd, or
    neither
Homework
p. 128 # 1-15
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