# 3.1 Graph Cubic Functions by rsr13049

VIEWS: 51 PAGES: 10

• pg 1
```									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
START NOW!

```
To top