3.1Graph Cubic Functions

3.1, 3.3 Test: May 4Computer Lab (C28): May 53.6, 3.8, 3.12 Quiz: May 12

3.6, 3.8, 3.12, 3.13 Test: May 18Final Exam: May 25

May 10-13 and May 17-20:

School starts at 7:15 for EOCT testing!

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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