- Cubic Function | 3-degree
- Domain & Range | Domain and Range both are all set of Real Numbers.
- End Behavior | When x approaches positive infinity, f(x) approaches positive infinity as well. When x approaches negative infinity, f(x) approaches negative infinity too.
- Intervals of Increasing/Decreasing | Increases at (-∞, 2) U (6,∞) and Decreases at (2,14/3) aka 2 < x < 14/3
- Intervals of Positive/Negative
Positive when x > 6 or (6,+∞)
Negative when 2 < x < 6 and x < 2 or (2,6) U (-∞,2)
- Turning Points are (2,0) and (14/3, -256/27)
- Zeros and Multiplicity | Factoring the polynomial as we get (x-2)(x-2)(x-6). Therefore, the zeros are multiplication of 2 and 6.
Multiplicity will affect the graph for x-axis. When the multiplicity kicks in, the graph will turn either decreasing on increasing on x-axis immediately.
<em>Also I was plotting the graph so It might take too long. </em>
