First of all, move all terms to the same side:
You can factor an x, which means that is a solution:
This expression is further factorizable if the quadratic equation has any solution. Using the quadratic formula, we can find that they are
So, we have
Answer:
Last option: increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
Step-by-step explanation:
The function given is an absolute cubic function. (Pictured below).
We can determine from the graph that the equation increases over the interval:
increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
