1. School starts at 7:15 for EOCT testing!
May 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

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 = x Compare with the parent function y = x3. And describe the end behavior.
make a TABLE! X -2 -1 1 2 Y

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! X -2 -1 1 2 Y

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

10. Homework
p. 128 # 1-15
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