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3.1 Graph Cubic Functions

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.

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3.1 Graph Cubic Functions

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  1. May 10-13 and May 17-20: School starts at 7:15 for EOCT testing! 3.1Graph 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

  2. 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:

  3. 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.

  4. Vocabulary • The end behavior of a function’s graph is the behavior of the graph as x approaches positive infinity or negative infinity. • Example:

  5. Example 1: • Graph y = x3 + 3. Compare with the parent function y = x3. And describe the end behavior. • make a TABLE!

  6. Example 1 Graph:

  7. Example 2: • Graph y = -4x3. Compare to the parent function y = x3. And describe the end behavior. • Make a TABLE!

  8. Example 2 Graph:

  9. 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

  10. Homework p. 128 # 1-15 START NOW!

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