First, apologies about the basic question, I'm a first time Calc I student with no prior calc experience. I'm looking for the general steps of how to sketch a graph given a basic function like $(1/16)x^4$ - $12x^2$ + 4.
I understand that you need to find the first derivative and set it equal to 0 to find the critical points, and then find the second derivative and do likewise to it to find the inflection points. But how do I find the general shape of the graph, like if the line is going up toward infinity or negative infinity between points?
Thanks for your help